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5331965901025 = 5289251892
BaseRepresentation
bin100110110010111000111…
…1011101111100011100001
3200212201201212112011202111
41031211301323233203201
51144324331232313100
615201245445515321
71060136041235311
oct115456173574341
920781655464674
105331965901025
111776301824385
12721454712b41
132c8a576536ba
141460d6073441
1593a6b3d36ba
hex4d971eef8e1

5331965901025 has 27 divisors (see below), whose sum is σ = 6688049368651. Its totient is φ = 4216832132480.

The previous prime is 5331965900929. The next prime is 5331965901037. The reversal of 5331965901025 is 5201095691335.

The square root of 5331965901025 is 2309105.

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

It can be written as a sum of positive squares in 13 ways, for example, as 3528811091169 + 1803154809856 = 1878513^2 + 1342816^2 .

It is a de Polignac number, because none of the positive numbers 2k-5331965901025 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5331965901025.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1027549131 + ... + 1027554319.

Almost surely, 25331965901025 is an apocalyptic number.

5331965901025 is the 2309105-th square number.

5331965901025 is the 1154553-rd centered octagonal number.

It is an amenable number.

5331965901025 is a deficient number, since it is larger than the sum of its proper divisors (1356083467626).

5331965901025 is an frugal number, since it uses more digits than its factorization.

5331965901025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10566 (or 5283 counting only the distinct ones).

The product of its (nonzero) digits is 1093500, while the sum is 49.

Multiplying 5331965901025 by its sum of digits (49), we get a square (261266329150225 = 161637352).

The spelling of 5331965901025 in words is "five trillion, three hundred thirty-one billion, nine hundred sixty-five million, nine hundred one thousand, twenty-five".

Divisors: 1 5 25 89 445 2225 5189 7921 25945 39605 129725 198025 461821 2309105 11545525 26925721 41102069 134628605 205510345 673143025 1027551725 2396389169 11981945845 59909729225 213278636041 1066393180205 5331965901025