213125363568 has 400 divisors, whose sum is σ = 688143456000. Its totient is φ = 63238164480.

The previous prime is 213125363567. The next prime is 213125363587. The reversal of 213125363568 is 865363521312.

213125363568 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 2 + 5 + 3 + 635 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213125363567) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 203169508 + ... + 203170556.

It is an arithmetic number, because the mean of its divisors is an integer number (1720358640).

Almost surely, 2^213125363568 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 213125363568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344071728000).

213125363568 is an abundant number, since it is smaller than the sum of its proper divisors (475018092432).

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

213125363568 is a wasteful number, since it uses less digits than its factorization.

213125363568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1487 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 213125363568 in words is "two hundred thirteen billion, one hundred twenty-five million, three hundred sixty-three thousand, five hundred sixty-eight".