51164054201 has 16 divisors (see below), whose sum is σ = 56463567888. Its totient is φ = 46060185600.

The previous prime is 51164054171. The next prime is 51164054341. The reversal of 51164054201 is 10245046115.

It can be written as a sum of positive squares in 8 ways, for example, as 31408346176 + 19755708025 = 177224^2 + 140555^2 .

It is a de Polignac number, because none of the positive numbers 2^k-51164054201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (51164054701) 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, 1648115 + ... + 1678871.

It is an arithmetic number, because the mean of its divisors is an integer number (3528972993).

Almost surely, 2^51164054201 is an apocalyptic number.

It is an amenable number.

51164054201 is a deficient number, since it is larger than the sum of its proper divisors (5299513687).

51164054201 is a wasteful number, since it uses less digits than its factorization.

51164054201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33932.

The product of its (nonzero) digits is 4800, while the sum is 29.

The spelling of 51164054201 in words is "fifty-one billion, one hundred sixty-four million, fifty-four thousand, two hundred one".