52500013104213 has 24 divisors (see below), whose sum is σ = 77683396930776. Its totient is φ = 34146151872000.

The previous prime is 52500013104199. The next prime is 52500013104229. The reversal of 52500013104213 is 31240131000525.

52500013104213 is a `hidden beast` number, since 5 + 2 + 500 + 0 + 131 + 0 + 4 + 21 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4055865710724 + 48444147393489 = 2013918^2 + 6960183^2 .

It is not a de Polignac number, because 52500013104213 - 2¹⁷ = 52500012973141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52500013104233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90180163 + ... + 90760463.

It is an arithmetic number, because the mean of its divisors is an integer number (3236808205449).

Almost surely, 2^{52500013104213} is an apocalyptic number.

It is an amenable number.

52500013104213 is a deficient number, since it is larger than the sum of its proper divisors (25183383826563).

52500013104213 is a wasteful number, since it uses less digits than its factorization.

52500013104213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825525 (or 825522 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 52500013104213 its reverse (31240131000525), we get a palindrome (83740144104738).

The spelling of 52500013104213 in words is "fifty-two trillion, five hundred billion, thirteen million, one hundred four thousand, two hundred thirteen".