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21537030025 = 52745992
BaseRepresentation
bin10100000011101101…
…001111111110001001
32001120221201111001201
4110003231033332021
5323101434430100
613521033144201
71361464510000
oct240355177611
961527644051
1021537030025
119152101475
12421085b061
132052c63964
1410844a7c37
15860b7c36a
hex503b4ff89

21537030025 has 45 divisors (see below), whose sum is σ = 31207148231. Its totient is φ = 14743594320.

The previous prime is 21537030001. The next prime is 21537030049. The reversal of 21537030025 is 52003073512.

The square root of 21537030025 is 146755.

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

It is an interprime number because it is at equal distance from previous prime (21537030001) and next prime (21537030049).

It can be written as a sum of positive squares in only one way, i.e., 7753330809 + 13783699216 = 88053^2 + 117404^2 .

It is not a de Polignac number, because 21537030025 - 27 = 21537029897 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21537029975 and 21537030002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 35954676 + ... + 35955274.

Almost surely, 221537030025 is an apocalyptic number.

21537030025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

21537030025 is the 146755-th square number.

21537030025 is the 73378-th centered octagonal number.

It is an amenable number.

21537030025 is a deficient number, since it is larger than the sum of its proper divisors (9670118206).

21537030025 is an frugal number, since it uses more digits than its factorization.

21537030025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The spelling of 21537030025 in words is "twenty-one billion, five hundred thirty-seven million, thirty thousand, twenty-five".

Divisors: 1 5 7 25 35 49 175 245 343 599 1225 1715 2401 2995 4193 8575 12005 14975 20965 29351 60025 104825 146755 205457 358801 733775 1027285 1438199 1794005 2511607 5136425 7190995 8970025 12558035 17581249 35954975 62790175 87906245 123068743 439531225 615343715 861481201 3076718575 4307406005 21537030025