5817256956 has 144 divisors (see below), whose sum is σ = 17435658240. Its totient is φ = 1600784640.

The previous prime is 5817256901. The next prime is 5817256993. The reversal of 5817256956 is 6596527185.

5817256956 is a `hidden beast` number, since 5 + 8 + 1 + 72 + 569 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 812665 + ... + 819791.

It is an arithmetic number, because the mean of its divisors is an integer number (121080960).

Almost surely, 2^5817256956 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 5817256956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8717829120).

5817256956 is an abundant number, since it is smaller than the sum of its proper divisors (11618401284).

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

5817256956 is a wasteful number, since it uses less digits than its factorization.

5817256956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7264 (or 7259 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 54.

The square root of 5817256956 is about 76270.9443759549. The cubic root of 5817256956 is about 1798.4819460148.

The spelling of 5817256956 in words is "five billion, eight hundred seventeen million, two hundred fifty-six thousand, nine hundred fifty-six".