10174855938025 has 27 divisors (see below), whose sum is σ = 12860434575471. Its totient is φ = 7985638539840.

The previous prime is 10174855938017. The next prime is 10174855938031. The reversal of 10174855938025 is 52083955847101.

The square root of 10174855938025 is 3189805.

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 9858827575129 + 316028362896 = 3139877^2 + 562164^2 .

It is not a de Polignac number, because 10174855938025 - 2³ = 10174855938017 is a prime.

It is a super-4 number, since 4×10174855938025⁴ (a number of 53 digits) contains 4444 as substring.

It is a Duffinian number.

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, 845292307 + ... + 845304343.

Almost surely, 2^{10174855938025} is an apocalyptic number.

10174855938025 is the 3189805-th square number.

10174855938025 is the 1594903-rd centered octagonal number.

It is an amenable number.

10174855938025 is a deficient number, since it is larger than the sum of its proper divisors (2685578637446).

10174855938025 is an frugal number, since it uses more digits than its factorization.

10174855938025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24190 (or 12095 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 58.

The spelling of 10174855938025 in words is "ten trillion, one hundred seventy-four billion, eight hundred fifty-five million, nine hundred thirty-eight thousand, twenty-five".