51792527468401 has 2 divisors, whose sum is σ = 51792527468402. Its totient is φ = 51792527468400.

The previous prime is 51792527468329. The next prime is 51792527468447. The reversal of 51792527468401 is 10486472529715.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51605890508176 + 186636960225 = 7183724^2 + 432015^2 .

It is a cyclic number.

It is not a de Polignac number, because 51792527468401 - 2¹⁹ = 51792526944113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 51792527468401.

It is not a weakly prime, because it can be changed into another prime (51792527498401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25896263734200 + 25896263734201.

It is an arithmetic number, because the mean of its divisors is an integer number (25896263734201).

Almost surely, 2^{51792527468401} is an apocalyptic number.

It is an amenable number.

51792527468401 is a deficient number, since it is larger than the sum of its proper divisors (1).

51792527468401 is an equidigital number, since it uses as much as digits as its factorization.

51792527468401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 33868800, while the sum is 61.

The spelling of 51792527468401 in words is "fifty-one trillion, seven hundred ninety-two billion, five hundred twenty-seven million, four hundred sixty-eight thousand, four hundred one".