503136526797025 has 81 divisors (see below), whose sum is σ = 688068926110713. Its totient is φ = 364690963084800.

The previous prime is 503136526797017. The next prime is 503136526797089. The reversal of 503136526797025 is 520797625631305.

The square root of 503136526797025 is 22430705.

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

It can be written as a sum of positive squares in 4 ways, for example, as 252870328198609 + 250266198598416 = 15901897^2 + 15819804^2 .

It is not a de Polignac number, because 503136526797025 - 2³ = 503136526797017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 541589371761 + ... + 541589372689.

Almost surely, 2^{503136526797025} is an apocalyptic number.

503136526797025 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

503136526797025 is the 22430705-th square number.

503136526797025 is the 11215353-rd centered octagonal number.

It is an amenable number.

503136526797025 is a deficient number, since it is larger than the sum of its proper divisors (184932399313688).

503136526797025 is an frugal number, since it uses more digits than its factorization.

503136526797025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 71442000, while the sum is 61.

The spelling of 503136526797025 in words is "five hundred three trillion, one hundred thirty-six billion, five hundred twenty-six million, seven hundred ninety-seven thousand, twenty-five".