1315761264 has 60 divisors (see below), whose sum is σ = 3692073216. Its totient is φ = 437423616.

The previous prime is 1315761247. The next prime is 1315761281. The reversal of 1315761264 is 4621675131.

1315761264 is a `hidden beast` number, since 1 + 31 + 5 + 7 + 612 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1315761247) and next prime (1315761281).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43224 + ... + 67080.

Almost surely, 2^1315761264 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 1315761264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846036608).

1315761264 is an abundant number, since it is smaller than the sum of its proper divisors (2376311952).

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

1315761264 is a wasteful number, since it uses less digits than its factorization.

1315761264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24254 (or 24245 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 1315761264 is about 36273.4236597540. The cubic root of 1315761264 is about 1095.7858773276.

The spelling of 1315761264 in words is "one billion, three hundred fifteen million, seven hundred sixty-one thousand, two hundred sixty-four".