1312653992 has 64 divisors (see below), whose sum is σ = 2689923600. Its totient is φ = 596920320.

The previous prime is 1312653961. The next prime is 1312654001. The reversal of 1312653992 is 2993562131.

It can be written as a sum of positive squares in 8 ways, for example, as 261986596 + 1050667396 = 16186^2 + 32414^2 .

It is a super-3 number, since 3×1312653992³ (a number of 28 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2578634 + ... + 2579142.

Almost surely, 2^1312653992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312653992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344961800).

1312653992 is an abundant number, since it is smaller than the sum of its proper divisors (1377269608).

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

1312653992 is a wasteful number, since it uses less digits than its factorization.

1312653992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 842 counting only the distinct ones).

The product of its digits is 87480, while the sum is 41.

The square root of 1312653992 is about 36230.5670946509. The cubic root of 1312653992 is about 1094.9226030378.

The spelling of 1312653992 in words is "one billion, three hundred twelve million, six hundred fifty-three thousand, nine hundred ninety-two".