252101582684028 has 192 divisors, whose sum is σ = 815115480560640. Its totient is φ = 65461510022400.

The previous prime is 252101582683961. The next prime is 252101582684051. The reversal of 252101582684028 is 820486285101252.

252101582684028 is a `hidden beast` number, since 2 + 5 + 2 + 10 + 1 + 582 + 6 + 8 + 40 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23556058 + ... + 32543678.

It is an arithmetic number, because the mean of its divisors is an integer number (4245393127920).

Almost surely, 2^{252101582684028} is an apocalyptic number.

252101582684028 is a gapful number since it is divisible by the number (28) 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 252101582684028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407557740280320).

252101582684028 is an abundant number, since it is smaller than the sum of its proper divisors (563013897876612).

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

252101582684028 is a wasteful number, since it uses less digits than its factorization.

252101582684028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8991025 (or 8991017 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 54.

The spelling of 252101582684028 in words is "two hundred fifty-two trillion, one hundred one billion, five hundred eighty-two million, six hundred eighty-four thousand, twenty-eight".