51161102984601 has 27 divisors (see below), whose sum is σ = 78502659703741. Its totient is φ = 32100855339264.

The previous prime is 51161102984527. The next prime is 51161102984609. The reversal of 51161102984601 is 10648920116115.

The square root of 51161102984601 is 7152699.

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

51161102984601 is a `hidden beast` number, since 5 + 1 + 1 + 6 + 1 + 10 + 29 + 8 + 4 + 601 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2342598608025 + 48818504376576 = 1530555^2 + 6987024^2 .

It is not a de Polignac number, because 51161102984601 - 2²³ = 51161094595993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51161102984609) 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, 364717525 + ... + 364857773.

Almost surely, 2^{51161102984601} is an apocalyptic number.

51161102984601 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

51161102984601 is the 7152699-th square number.

51161102984601 is the 3576350-th centered octagonal number.

It is an amenable number.

51161102984601 is a deficient number, since it is larger than the sum of its proper divisors (27341556719140).

51161102984601 is an frugal number, since it uses more digits than its factorization.

51161102984601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280538 (or 140269 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 51161102984601 in words is "fifty-one trillion, one hundred sixty-one billion, one hundred two million, nine hundred eighty-four thousand, six hundred one".