Search a number
-
+
5320973025 = 345216212
BaseRepresentation
bin1001111010010011…
…11001101011100001
3111201211100102210000
410331021321223201
541344132114100
62235554530213
7245600344614
oct47511715341
914654312700
105320973025
112290606875
121045b96969
1366a4c0964
1438697417b
15212209900
hex13d279ae1

5320973025 has 45 divisors (see below), whose sum is σ = 9862365513. Its totient is φ = 2836101600.

The previous prime is 5320973017. The next prime is 5320973033. The reversal of 5320973025 is 5203790235.

The square root of 5320973025 is 72945.

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

5320973025 is a `hidden beast` number, since 532 + 0 + 97 + 30 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (5320973017) and next prime (5320973033).

It can be written as a sum of positive squares in 4 ways, for example, as 105822369 + 5215150656 = 10287^2 + 72216^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 5320973025 - 23 = 5320973017 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3281715 + ... + 3283335.

Almost surely, 25320973025 is an apocalyptic number.

5320973025 is the 72945-th square number.

5320973025 is the 36473-rd centered octagonal number.

It is an amenable number.

5320973025 is a deficient number, since it is larger than the sum of its proper divisors (4541392488).

5320973025 is an frugal number, since it uses more digits than its factorization.

5320973025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3264 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The cubic root of 5320973025 is about 1745.8101699595.

Multiplying 5320973025 by its sum of digits (36), we get a square (191555028900 = 4376702).

The spelling of 5320973025 in words is "five billion, three hundred twenty million, nine hundred seventy-three thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 1621 2025 4863 8105 14589 24315 40525 43767 72945 121575 131301 218835 364725 656505 1094175 2627641 3282525 7882923 13138205 23648769 39414615 65691025 70946307 118243845 197073075 212838921 354731535 591219225 1064194605 1773657675 5320973025