51564021105131 has 16 divisors (see below), whose sum is σ = 52780732377600. Its totient is φ = 50359690912608.

The previous prime is 51564021105119. The next prime is 51564021105143. The reversal of 51564021105131 is 13150112046515.

It is an interprime number because it is at equal distance from previous prime (51564021105119) and next prime (51564021105143).

It is a cyclic number.

It is not a de Polignac number, because 51564021105131 - 2³⁰ = 51562947363307 is a prime.

It is a super-2 number, since 2×51564021105131² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 51564021105091 and 51564021105100.

It is not an unprimeable number, because it can be changed into a prime (51564021105031) 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, 2134160 + ... + 10377026.

It is an arithmetic number, because the mean of its divisors is an integer number (3298795773600).

Almost surely, 2^{51564021105131} is an apocalyptic number.

51564021105131 is a deficient number, since it is larger than the sum of its proper divisors (1216711272469).

51564021105131 is a wasteful number, since it uses less digits than its factorization.

51564021105131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8243618.

The product of its (nonzero) digits is 18000, while the sum is 35.

The spelling of 51564021105131 in words is "fifty-one trillion, five hundred sixty-four billion, twenty-one million, one hundred five thousand, one hundred thirty-one".