252112355352 has 192 divisors, whose sum is σ = 815328128160. Its totient is φ = 69364684800.

The previous prime is 252112355351. The next prime is 252112355377. The reversal of 252112355352 is 253553211252.

252112355352 is a `hidden beast` number, since 2 + 5 + 2 + 112 + 3 + 5 + 535 + 2 = 666.

It is a super-2 number, since 2×252112355352² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252112355351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 427348 + ... + 828764.

Almost surely, 2^252112355352 is an apocalyptic number.

252112355352 is a gapful number since it is divisible by the number (22) 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 252112355352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407664064080).

252112355352 is an abundant number, since it is smaller than the sum of its proper divisors (563215772808).

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

252112355352 is a wasteful number, since it uses less digits than its factorization.

252112355352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401514 (or 401507 counting only the distinct ones).

The product of its digits is 90000, while the sum is 36.

The spelling of 252112355352 in words is "two hundred fifty-two billion, one hundred twelve million, three hundred fifty-five thousand, three hundred fifty-two".