1313487905625 has 405 divisors, whose sum is σ = 2883296242827. Its totient is φ = 574321104000.

The previous prime is 1313487905623. The next prime is 1313487905627. The reversal of 1313487905625 is 5265097843131.

It is a happy number.

The square root of 1313487905625 is 1146075.

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

1313487905625 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 4 + 8 + 7 + 9 + 0 + 5 + 625 = 666.

It is an interprime number because it is at equal distance from previous prime (1313487905623) and next prime (1313487905627).

It can be written as a sum of positive squares in 7 ways, for example, as 436110989769 + 877376915856 = 660387^2 + 936684^2 .

It is not a de Polignac number, because 1313487905625 - 2¹ = 1313487905623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1313487905623) by changing a digit.

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 404 ways as a sum of consecutive naturals, for example, 22262506846 + ... + 22262506904.

It is a 1-persistent number, because it is pandigital, but 2⋅1313487905625 = 2626975811250 is not.

Almost surely, 2^{1313487905625} is an apocalyptic number.

1313487905625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1313487905625 is the 1146075-th square number.

1313487905625 is the 573038-th centered octagonal number.

It is an amenable number.

1313487905625 is an abundant number, since it is smaller than the sum of its proper divisors (1569808337202).

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

1313487905625 is an frugal number, since it uses more digits than its factorization.

1313487905625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 1313487905625 in words is "one trillion, three hundred thirteen billion, four hundred eighty-seven million, nine hundred five thousand, six hundred twenty-five".