1313961264 has 630 divisors, whose sum is σ = 5137340460. Its totient is φ = 323326080.

The previous prime is 1313961241. The next prime is 1313961293. The reversal of 1313961264 is 4621693131.

1313961264 is a `hidden beast` number, since 1 + 3 + 1 + 39 + 612 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (23328) is a multiple of the sum of its prime factors (81).

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 69155847 + ... + 69155865.

Almost surely, 2^1313961264 is an apocalyptic number.

1313961264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313961264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2568670230).

1313961264 is an abundant number, since it is smaller than the sum of its proper divisors (3823379196).

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

1313961264 is a wasteful number, since it uses less digits than its factorization.

1313961264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 42 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 1313961264 is about 36248.6036144842. The cubic root of 1313961264 is about 1095.2859602181.

The spelling of 1313961264 in words is "one billion, three hundred thirteen million, nine hundred sixty-one thousand, two hundred sixty-four".