5312651596561 has 9 divisors (see below), whose sum is σ = 5326329464443. Its totient is φ = 5299008781000.

The previous prime is 5312651596517. The next prime is 5312651596597. The reversal of 5312651596561 is 1656951562135.

The square root of 5312651596561 is 2304919.

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

It can be written as a sum of positive squares in only one way, i.e., 5216514392961 + 96137203600 = 2283969^2 + 310060^2 .

It is not a de Polignac number, because 5312651596561 - 2²³ = 5312643207953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5312651596501) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 965758311 + ... + 965763811.

Almost surely, 2^{5312651596561} is an apocalyptic number.

5312651596561 is the 2304919-th square number.

5312651596561 is the 1152460-th centered octagonal number.

It is an amenable number.

5312651596561 is a deficient number, since it is larger than the sum of its proper divisors (13677867882).

5312651596561 is an frugal number, since it uses more digits than its factorization.

5312651596561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11840 (or 5920 counting only the distinct ones).

The product of its digits is 7290000, while the sum is 55.

The spelling of 5312651596561 in words is "five trillion, three hundred twelve billion, six hundred fifty-one million, five hundred ninety-six thousand, five hundred sixty-one".