2531678765625 has 63 divisors (see below), whose sum is σ = 4572105714579. Its totient is φ = 1349910450000.

The previous prime is 2531678765569. The next prime is 2531678765639. The reversal of 2531678765625 is 5265678761352.

The square root of 2531678765625 is 1591125.

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

2531678765625 is a `hidden beast` number, since 2 + 5 + 3 + 1 + 67 + 8 + 7 + 6 + 562 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2217993639849 + 313685125776 = 1489293^2 + 560076^2 .

It is not a de Polignac number, because 2531678765625 - 2³³ = 2523088831033 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 596669754 + ... + 596673996.

Almost surely, 2^{2531678765625} is an apocalyptic number.

2531678765625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2531678765625 is the 1591125-th square number.

2531678765625 is the 795563-rd centered octagonal number.

It is an amenable number.

2531678765625 is a deficient number, since it is larger than the sum of its proper divisors (2040426948954).

2531678765625 is an frugal number, since it uses more digits than its factorization.

2531678765625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8522 (or 4251 counting only the distinct ones).

The product of its digits is 127008000, while the sum is 63.

The spelling of 2531678765625 in words is "two trillion, five hundred thirty-one billion, six hundred seventy-eight million, seven hundred sixty-five thousand, six hundred twenty-five".