51586855395201 has 243 divisors, whose sum is σ = 93714694549281. Its totient is φ = 27261168889248.

The previous prime is 51586855395181. The next prime is 51586855395203. The reversal of 51586855395201 is 10259355868515.

The square root of 51586855395201 is 7182399.

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

51586855395201 is a `hidden beast` number, since 5 + 1 + 58 + 6 + 8 + 5 + 53 + 9 + 520 + 1 = 666.

It is not a de Polignac number, because 51586855395201 - 2¹⁷ = 51586855264129 is a prime.

It is a super-2 number, since 2×51586855395201² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (51586855395203) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 134691528256 + ... + 134691528638.

Almost surely, 2^{51586855395201} is an apocalyptic number.

51586855395201 is the 7182399-th square number.

51586855395201 is the 3591200-th centered octagonal number.

It is an amenable number.

51586855395201 is a deficient number, since it is larger than the sum of its proper divisors (42127839154080).

51586855395201 is an equidigital number, since it uses as much as digits as its factorization.

51586855395201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 64800000, while the sum is 63.

The spelling of 51586855395201 in words is "fifty-one trillion, five hundred eighty-six billion, eight hundred fifty-five million, three hundred ninety-five thousand, two hundred one".