83013812136252 has 48 divisors (see below), whose sum is σ = 215318248094880. Its totient is φ = 27658766669184.

The previous prime is 83013812136139. The next prime is 83013812136253. The reversal of 83013812136252 is 25263121831038.

83013812136252 is a `hidden beast` number, since 8 + 3 + 0 + 1 + 3 + 8 + 1 + 2 + 13 + 625 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 83013812136198 and 83013812136207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83013812136253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173427153 + ... + 173905160.

It is an arithmetic number, because the mean of its divisors is an integer number (4485796835310).

Almost surely, 2^{83013812136252} is an apocalyptic number.

It is an amenable number.

83013812136252 is an abundant number, since it is smaller than the sum of its proper divisors (132304435958628).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83013812136252 is a wasteful number, since it uses less digits than its factorization.

83013812136252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347334539 (or 347334531 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 83013812136252 in words is "eighty-three trillion, thirteen billion, eight hundred twelve million, one hundred thirty-six thousand, two hundred fifty-two".