252600202152 has 96 divisors (see below), whose sum is σ = 691173124200. Its totient is φ = 83336343552.

The previous prime is 252600202133. The next prime is 252600202159. The reversal of 252600202152 is 251202006252.

252600202152 is a `hidden beast` number, since 2 + 5 + 2 + 600 + 2 + 0 + 2 + 1 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 137675134116 + 114925068036 = 371046^2 + 339006^2 .

It is a super-2 number, since 2×252600202152² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (252600202159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3286174 + ... + 3362162.

Almost surely, 2^252600202152 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 252600202152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345586562100).

252600202152 is an abundant number, since it is smaller than the sum of its proper divisors (438572922048).

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

252600202152 is a wasteful number, since it uses less digits than its factorization.

252600202152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76475 (or 76468 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 252600202152 in words is "two hundred fifty-two billion, six hundred million, two hundred two thousand, one hundred fifty-two".