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21052559025 = 32521725692
BaseRepresentation
bin10011100110110101…
…001000111010110001
32000100012002210210100
4103212311020322301
5321103423342100
613401005223013
71343462541051
oct234665107261
960305083710
1021052559025
118a23691213
1240b6561a69
131ca6787c24
141039dd5561
15833380400
hex4e6d48eb1

21052559025 has 81 divisors (see below), whose sum is σ = 40126555651. Its totient is φ = 10548986880.

The previous prime is 21052558993. The next prime is 21052559029. The reversal of 21052559025 is 52095525012.

The square root of 21052559025 is 145095.

It is a perfect power (a square), and thus also a powerful number.

21052559025 is a `hidden beast` number, since 2 + 10 + 52 + 5 + 590 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 14891564961 + 6160994064 = 122031^2 + 78492^2 .

It is not a de Polignac number, because 21052559025 - 25 = 21052558993 is a prime.

It is a super-2 number, since 2×210525590252 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21052559029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 36998941 + ... + 36999509.

Almost surely, 221052559025 is an apocalyptic number.

21052559025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

21052559025 is the 145095-th square number.

21052559025 is the 72548-th centered octagonal number.

It is an amenable number.

21052559025 is a deficient number, since it is larger than the sum of its proper divisors (19073996626).

21052559025 is an equidigital number, since it uses as much as digits as its factorization.

21052559025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

Multiplying 21052559025 by its sum of digits (36), we get a square (757892124900 = 8705702).

The spelling of 21052559025 in words is "twenty-one billion, fifty-two million, five hundred fifty-nine thousand, twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 225 255 289 425 569 765 867 1275 1445 1707 2601 2845 3825 4335 5121 7225 8535 9673 13005 14225 21675 25605 29019 42675 48365 65025 87057 128025 145095 164441 241825 323761 435285 493323 725475 822205 971283 1479969 1618805 2176425 2466615 2913849 4111025 4856415 5503937 7399845 8094025 12333075 14569245 16511811 24282075 27519685 36999225 49535433 72846225 82559055 93566929 137598425 247677165 280700787 412795275 467834645 842102361 1238385825 1403503935 2339173225 4210511805 7017519675 21052559025