500987918025 has 315 divisors, whose sum is σ = 1096831912631. Its totient is φ = 226882645920.

The previous prime is 500987918003. The next prime is 500987918069. The reversal of 500987918025 is 520819789005.

The square root of 500987918025 is 707805.

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., 180355650489 + 320632267536 = 424683^2 + 566244^2 .

It is a tau number, because it is divible by the number of its divisors (315).

It is not a de Polignac number, because 500987918025 - 2⁷ = 500987917897 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 314 ways as a sum of consecutive naturals, for example, 4682130022 + ... + 4682130128.

Almost surely, 2^500987918025 is an apocalyptic number.

500987918025 is the 707805-th square number.

500987918025 is the 353903-rd centered octagonal number.

It is an amenable number.

500987918025 is an abundant number, since it is smaller than the sum of its proper divisors (595843994606).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

500987918025 is an frugal number, since it uses more digits than its factorization.

500987918025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 54.

The spelling of 500987918025 in words is "five hundred billion, nine hundred eighty-seven million, nine hundred eighteen thousand, twenty-five".