51253314176164 has 81 divisors (see below), whose sum is σ = 95863836784611. Its totient is φ = 23972243804160.

The previous prime is 51253314176161. The next prime is 51253314176189. The reversal of 51253314176164 is 46167141335215.

The square root of 51253314176164 is 7159142.

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

It can be written as a sum of positive squares in 4 ways, for example, as 31237734564 + 51222076441600 = 176742^2 + 7156960^2 .

It is a super-3 number, since 3×51253314176164³ (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51253314176161) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46978289259 + ... + 46978290349.

Almost surely, 2^{51253314176164} is an apocalyptic number.

51253314176164 is the 7159142-nd square number.

It is an amenable number.

51253314176164 is a deficient number, since it is larger than the sum of its proper divisors (44610522608447).

51253314176164 is an equidigital number, since it uses as much as digits as its factorization.

51253314176164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2606 (or 1303 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 49.

The spelling of 51253314176164 in words is "fifty-one trillion, two hundred fifty-three billion, three hundred fourteen million, one hundred seventy-six thousand, one hundred sixty-four".