52790117121 has 75 divisors (see below), whose sum is σ = 92173971923. Its totient is φ = 30107881440.

The previous prime is 52790117101. The next prime is 52790117131. The reversal of 52790117121 is 12171109725.

The square root of 52790117121 is 229761.

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

52790117121 is a `hidden beast` number, since 527 + 9 + 0 + 1 + 1 + 7 + 121 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15138595521 + 37651521600 = 123039^2 + 194040^2 .

It is not a de Polignac number, because 52790117121 - 2⁷ = 52790116993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52790117101) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 101324341 + ... + 101324861.

Almost surely, 2^52790117121 is an apocalyptic number.

52790117121 is the 229761-st square number.

52790117121 is the 114881-st centered octagonal number.

It is an amenable number.

52790117121 is a deficient number, since it is larger than the sum of its proper divisors (39383854802).

52790117121 is an frugal number, since it uses more digits than its factorization.

52790117121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 36.

Multiplying 52790117121 by its sum of digits (36), we get a square (1900444216356 = 1378566²).

The spelling of 52790117121 in words is "fifty-two billion, seven hundred ninety million, one hundred seventeen thousand, one hundred twenty-one".