10338957930625 has 45 divisors (see below), whose sum is σ = 13246581425341. Its totient is φ = 8066858240000.

The previous prime is 10338957930599. The next prime is 10338957930643. The reversal of 10338957930625 is 52603975983301.

The square root of 10338957930625 is 3215425.

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

It can be written as a sum of positive squares in 22 ways, for example, as 10239596803969 + 99361126656 = 3199937^2 + 315216^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10338957930625 is a prime.

It is a Duffinian number.

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, 3295809057 + ... + 3295812193.

Almost surely, 2^{10338957930625} is an apocalyptic number.

10338957930625 is the 3215425-th square number.

10338957930625 is the 1607713-rd centered octagonal number.

It is an amenable number.

10338957930625 is a deficient number, since it is larger than the sum of its proper divisors (2907623494716).

10338957930625 is an frugal number, since it uses more digits than its factorization.

10338957930625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6376 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 61.

The spelling of 10338957930625 in words is "ten trillion, three hundred thirty-eight billion, nine hundred fifty-seven million, nine hundred thirty thousand, six hundred twenty-five".