51564872241 has 45 divisors (see below), whose sum is σ = 80597176891. Its totient is φ = 32851973088.

The previous prime is 51564872159. The next prime is 51564872267. The reversal of 51564872241 is 14227846515.

The square root of 51564872241 is 227079.

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

51564872241 is a `hidden beast` number, since 5 + 1 + 564 + 87 + 2 + 2 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14663999025 + 36900873216 = 121095^2 + 192096^2 .

It is not a de Polignac number, because 51564872241 - 2⁷ = 51564872113 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (51564872941) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 47004805 + ... + 47005901.

Almost surely, 2^51564872241 is an apocalyptic number.

51564872241 is the 227079-th square number.

51564872241 is the 113540-th centered octagonal number.

It is an amenable number.

51564872241 is a deficient number, since it is larger than the sum of its proper divisors (29032304650).

51564872241 is an frugal number, since it uses more digits than its factorization.

51564872241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2252 (or 1123 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The spelling of 51564872241 in words is "fifty-one billion, five hundred sixty-four million, eight hundred seventy-two thousand, two hundred forty-one".