5312561256 has 112 divisors (see below), whose sum is σ = 14972700960. Its totient is φ = 1766357280.

The previous prime is 5312561239. The next prime is 5312561273. The reversal of 5312561256 is 6521652135.

5312561256 is a `hidden beast` number, since 5 + 31 + 2 + 5 + 612 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (5312561239) and next prime (5312561273).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5312561256.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2932591 + ... + 2934401.

It is an arithmetic number, because the mean of its divisors is an integer number (133684830).

Almost surely, 2^5312561256 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 5312561256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7486350480).

5312561256 is an abundant number, since it is smaller than the sum of its proper divisors (9660139704).

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

5312561256 is a wasteful number, since it uses less digits than its factorization.

5312561256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2338 (or 2319 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 5312561256 is about 72887.3188970482. The cubic root of 5312561256 is about 1744.8897181833.

The spelling of 5312561256 in words is "five billion, three hundred twelve million, five hundred sixty-one thousand, two hundred fifty-six".