52311568513 has 16 divisors (see below), whose sum is σ = 55670464080. Its totient is φ = 48984293376.

The previous prime is 52311568501. The next prime is 52311568541. The reversal of 52311568513 is 31586511325.

52311568513 = 161727² + 161728².

It can be written as a sum of positive squares in 8 ways, for example, as 21482178624 + 30829389889 = 146568^2 + 175583^2 .

It is a 3-Lehmer number, since φ(52311568513) divides (52311568513-1)³.

It is a cyclic number.

It is not a de Polignac number, because 52311568513 - 2¹³ = 52311560321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52311568583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6586881 + ... + 6594817.

It is an arithmetic number, because the mean of its divisors is an integer number (3479404005).

Almost surely, 2^52311568513 is an apocalyptic number.

52311568513 is the 161728-th centered square number.

It is an amenable number.

52311568513 is a deficient number, since it is larger than the sum of its proper divisors (3358895567).

52311568513 is a wasteful number, since it uses less digits than its factorization.

52311568513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9876.

The product of its digits is 108000, while the sum is 40.

The spelling of 52311568513 in words is "fifty-two billion, three hundred eleven million, five hundred sixty-eight thousand, five hundred thirteen".