1310051930625 has 75 divisors (see below), whose sum is σ = 2445936969157. Its totient is φ = 698557014000.

The previous prime is 1310051930599. The next prime is 1310051930657. The reversal of 1310051930625 is 5260391500131.

It is a happy number.

The square root of 1310051930625 is 1144575.

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

1310051930625 is a `hidden beast` number, since 1 + 3 + 10 + 0 + 5 + 19 + 3 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 102708071361 + 1207343859264 = 320481^2 + 1098792^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 1310051930625 - 2⁹ = 1310051930113 is a prime.

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 1310051930625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 257526832 + ... + 257531918.

Almost surely, 2^{1310051930625} is an apocalyptic number.

1310051930625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1310051930625 is the 1144575-th square number.

1310051930625 is the 572288-th centered octagonal number.

It is an amenable number.

1310051930625 is a deficient number, since it is larger than the sum of its proper divisors (1135885038532).

1310051930625 is an frugal number, since it uses more digits than its factorization.

1310051930625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10206 (or 5095 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

Multiplying 1310051930625 by its sum of digits (36), we get a square (47161869502500 = 6867450²).

The spelling of 1310051930625 in words is "one trillion, three hundred ten billion, fifty-one million, nine hundred thirty thousand, six hundred twenty-five".