51824067201 has 9 divisors (see below), whose sum is σ = 74857972449. Its totient is φ = 34548922836.

The previous prime is 51824067187. The next prime is 51824067203. The reversal of 51824067201 is 10276042815.

The square root of 51824067201 is 227649.

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

51824067201 is a `hidden beast` number, since 5 + 182 + 406 + 72 + 0 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 51824067201 - 2¹⁵ = 51824034433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (51824067203) 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, 645006 + ... + 720888.

Almost surely, 2^51824067201 is an apocalyptic number.

51824067201 is the 227649-th square number.

51824067201 is the 113825-th centered octagonal number.

It is an amenable number.

51824067201 is a deficient number, since it is larger than the sum of its proper divisors (23033905248).

51824067201 is an frugal number, since it uses more digits than its factorization.

51824067201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151772 (or 75886 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Multiplying 51824067201 by its sum of digits (36), we get a square (1865666419236 = 1365894²).

The spelling of 51824067201 in words is "fifty-one billion, eight hundred twenty-four million, sixty-seven thousand, two hundred one".