51190604967121 has 9 divisors (see below), whose sum is σ = 51489459819121. Its totient is φ = 50893474897552.

The previous prime is 51190604967049. The next prime is 51190604967191. The reversal of 51190604967121 is 12176940609115.

The square root of 51190604967121 is 7154761.

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 19055311527121 + 32135293440000 = 4365239^2 + 5668800^2 .

It is not a de Polignac number, because 51190604967121 - 2⁷ = 51190604966993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51190604967191) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1237752975 + ... + 1237794331.

Almost surely, 2^{51190604967121} is an apocalyptic number.

51190604967121 is the 7154761-st square number.

51190604967121 is the 3577381-st centered octagonal number.

It is an amenable number.

51190604967121 is a deficient number, since it is larger than the sum of its proper divisors (298854852000).

51190604967121 is an frugal number, since it uses more digits than its factorization.

51190604967121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83060 (or 41530 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 52.

The spelling of 51190604967121 in words is "fifty-one trillion, one hundred ninety billion, six hundred four million, nine hundred sixty-seven thousand, one hundred twenty-one".