52583534721 has 81 divisors (see below), whose sum is σ = 83803308771. Its totient is φ = 32987763216.

The previous prime is 52583534719. The next prime is 52583534723. The reversal of 52583534721 is 12743538525.

The square root of 52583534721 is 229311.

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

52583534721 is a `hidden beast` number, since 5 + 2 + 583 + 5 + 3 + 47 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (52583534719) and next prime (52583534723).

It can be written as a sum of positive squares in only one way, i.e., 6160523121 + 46423011600 = 78489^2 + 215460^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 52583534721 - 2¹ = 52583534719 is a prime.

It is a super-2 number, since 2×52583534721² (a number of 22 digits) contains 22 as substring.

Its product of digits (1008000) is a multiple of the sum of its prime factors (360).

It is not an unprimeable number, because it can be changed into a prime (52583534723) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 352909555 + ... + 352909703.

Almost surely, 2^52583534721 is an apocalyptic number.

52583534721 is the 229311-st square number.

52583534721 is the 114656-th centered octagonal number.

It is an amenable number.

52583534721 is a deficient number, since it is larger than the sum of its proper divisors (31219774050).

52583534721 is an frugal number, since it uses more digits than its factorization.

52583534721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 171 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The spelling of 52583534721 in words is "fifty-two billion, five hundred eighty-three million, five hundred thirty-four thousand, seven hundred twenty-one".