52314210729 has 81 divisors (see below), whose sum is σ = 86383314199. Its totient is φ = 30484201440.

The previous prime is 52314210701. The next prime is 52314210757. The reversal of 52314210729 is 92701241325.

The square root of 52314210729 is 228723.

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

52314210729 is a `hidden beast` number, since 523 + 1 + 4 + 2 + 107 + 29 = 666.

It is an interprime number because it is at equal distance from previous prime (52314210701) and next prime (52314210757).

It can be written as a sum of positive squares in only one way, i.e., 27432303129 + 24881907600 = 165627^2 + 157740^2 .

It is not a de Polignac number, because 52314210729 - 2⁷ = 52314210601 is a prime.

It is a super-2 number, since 2×52314210729² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 52314210693 and 52314210702.

It is not an unprimeable number, because it can be changed into a prime (52314210229) 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, 218887792 + ... + 218888030.

Almost surely, 2^52314210729 is an apocalyptic number.

52314210729 is the 228723-rd square number.

52314210729 is the 114362-nd centered octagonal number.

It is an amenable number.

52314210729 is a deficient number, since it is larger than the sum of its proper divisors (34069103470).

52314210729 is a wasteful number, since it uses less digits than its factorization.

52314210729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Multiplying 52314210729 by its sum of digits (36), we get a square (1883311586244 = 1372338²).

The spelling of 52314210729 in words is "fifty-two billion, three hundred fourteen million, two hundred ten thousand, seven hundred twenty-nine".