652137087245904 has 600 divisors, whose sum is σ = 2199535301447352. Its totient is φ = 185758144266240.

The previous prime is 652137087245899. The next prime is 652137087245911. The reversal of 652137087245904 is 409542780731256.

It is a happy number.

652137087245904 is a `hidden beast` number, since 6 + 5 + 2 + 1 + 37 + 0 + 8 + 7 + 2 + 4 + 590 + 4 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 315566801640000 + 336570285605904 = 17764200^2 + 18345852^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 225692272 + ... + 228563504.

It is a 1-persistent number, because it is pandigital, but 2⋅652137087245904 = 1304274174491808 is not.

Almost surely, 2^{652137087245904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 652137087245904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099767650723676).

652137087245904 is an abundant number, since it is smaller than the sum of its proper divisors (1547398214201448).

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

652137087245904 is a wasteful number, since it uses less digits than its factorization.

652137087245904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2871357 (or 2871329 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 652137087245904 in words is "six hundred fifty-two trillion, one hundred thirty-seven billion, eighty-seven million, two hundred forty-five thousand, nine hundred four".