52683659239201 has 27 divisors (see below), whose sum is σ = 54103449748089. Its totient is φ = 51300631264608.

The previous prime is 52683659239181. The next prime is 52683659239231. The reversal of 52683659239201 is 10293295638625.

It is a happy number.

The square root of 52683659239201 is 7258351.

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

It can be written as a sum of positive squares in 4 ways, for example, as 572239296225 + 52111419942976 = 756465^2 + 7218824^2 .

It is not a de Polignac number, because 52683659239201 - 2⁴⁵ = 17499287150369 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 52683659239201.

It is not an unprimeable number, because it can be changed into a prime (52683659239231) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 132704431135 + ... + 132704431531.

Almost surely, 2^{52683659239201} is an apocalyptic number.

52683659239201 is the 7258351-st square number.

52683659239201 is the 3629176-th centered octagonal number.

It is an amenable number.

52683659239201 is a deficient number, since it is larger than the sum of its proper divisors (1419790508888).

52683659239201 is an frugal number, since it uses more digits than its factorization.

52683659239201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 61.

The spelling of 52683659239201 in words is "fifty-two trillion, six hundred eighty-three billion, six hundred fifty-nine million, two hundred thirty-nine thousand, two hundred one".