1312653664 has 48 divisors (see below), whose sum is σ = 2983968288. Its totient is φ = 556756992.

The previous prime is 1312653619. The next prime is 1312653689. The reversal of 1312653664 is 4663562131.

It is a super-2 number, since 2×1312653664² = 3446119283225249792, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 8479 + ... + 51934.

It is an arithmetic number, because the mean of its divisors is an integer number (62166006).

Almost surely, 2^1312653664 is an apocalyptic number.

1312653664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1312653664 is an abundant number, since it is smaller than the sum of its proper divisors (1671314624).

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

1312653664 is an equidigital number, since it uses as much as digits as its factorization.

1312653664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60527 (or 60519 counting only the distinct ones).

The product of its digits is 77760, while the sum is 37.

The square root of 1312653664 is about 36230.5625680861. The cubic root of 1312653664 is about 1094.9225118397.

The spelling of 1312653664 in words is "one billion, three hundred twelve million, six hundred fifty-three thousand, six hundred sixty-four".