52618521632352 has 288 divisors, whose sum is σ = 150654397703040. Its totient is φ = 16072902144000.

The previous prime is 52618521632273. The next prime is 52618521632363. The reversal of 52618521632352 is 25323612581625.

52618521632352 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 52618521632295 and 52618521632304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1250151724 + ... + 1250193812.

It is an arithmetic number, because the mean of its divisors is an integer number (523105547580).

Almost surely, 2^{52618521632352} is an apocalyptic number.

52618521632352 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52618521632352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75327198851520).

52618521632352 is an abundant number, since it is smaller than the sum of its proper divisors (98035876070688).

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

52618521632352 is a wasteful number, since it uses less digits than its factorization.

52618521632352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42686 (or 42665 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 51.

The spelling of 52618521632352 in words is "fifty-two trillion, six hundred eighteen billion, five hundred twenty-one million, six hundred thirty-two thousand, three hundred fifty-two".