1311598656 has 105 divisors (see below), whose sum is σ = 3895734271. Its totient is φ = 436330368.

The previous prime is 1311598559. The next prime is 1311598657. The reversal of 1311598656 is 6568951131.

The square root of 1311598656 is 36216.

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

1311598656 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 598 + 6 + 56 = 666.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1311598657) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2607301 + ... + 2607803.

Almost surely, 2^1311598656 is an apocalyptic number.

1311598656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1311598656 is the 36216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311598656

1311598656 is an abundant number, since it is smaller than the sum of its proper divisors (2584135615).

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

1311598656 is an frugal number, since it uses more digits than its factorization.

1311598656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 508 counting only the distinct ones).

The product of its digits is 194400, while the sum is 45.

The cubic root of 1311598656 is about 1094.6290956217.

The spelling of 1311598656 in words is "one billion, three hundred eleven million, five hundred ninety-eight thousand, six hundred fifty-six".