556971153025 has 27 divisors (see below), whose sum is σ = 803440150851. Its totient is φ = 381905165040.

The previous prime is 556971153007. The next prime is 556971153061. The reversal of 556971153025 is 520351179655.

The square root of 556971153025 is 746305.

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

It can be written as a sum of positive squares in only one way, i.e., 200509615089 + 356461537936 = 447783^2 + 597044^2 .

It is not a de Polignac number, because 556971153025 - 2⁵ = 556971152993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

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 556971153025.

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, 26110014 + ... + 26131336.

Almost surely, 2^556971153025 is an apocalyptic number.

556971153025 is the 746305-th square number.

556971153025 is the 373153-rd centered octagonal number.

It is an amenable number.

556971153025 is a deficient number, since it is larger than the sum of its proper divisors (246468997826).

556971153025 is an frugal number, since it uses more digits than its factorization.

556971153025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42670 (or 21335 counting only the distinct ones).

The product of its (nonzero) digits is 1417500, while the sum is 49.

Multiplying 556971153025 by its sum of digits (49), we get a square (27291586498225 = 5224135²).

556971153025 divided by its sum of digits (49) gives a square (11366758225 = 106615²).

The spelling of 556971153025 in words is "five hundred fifty-six billion, nine hundred seventy-one million, one hundred fifty-three thousand, twenty-five".