508162251025 has 81 divisors (see below), whose sum is σ = 750741736563. Its totient is φ = 340801718400.

The previous prime is 508162251001. The next prime is 508162251089. The reversal of 508162251025 is 520152261805.

The square root of 508162251025 is 712855.

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 319142515329 + 189019735696 = 564927^2 + 434764^2 .

It is not a de Polignac number, because 508162251025 - 2³⁵ = 473802512657 is a prime.

It is a super-2 number, since 2×508162251025² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 509690827 + ... + 509691823.

Almost surely, 2^508162251025 is an apocalyptic number.

508162251025 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

508162251025 is the 712855-th square number.

508162251025 is the 356428-th centered octagonal number.

It is an amenable number.

508162251025 is a deficient number, since it is larger than the sum of its proper divisors (242579485538).

508162251025 is an equidigital number, since it uses as much as digits as its factorization.

508162251025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 37.

The spelling of 508162251025 in words is "five hundred eight billion, one hundred sixty-two million, two hundred fifty-one thousand, twenty-five".