252107520 has 288 divisors, whose sum is σ = 939520512. Its totient is φ = 56426496.

The previous prime is 252107519. The next prime is 252107543. The reversal of 252107520 is 25701252.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2230984 + ... + 2231096.

It is an arithmetic number, because the mean of its divisors is an integer number (3262224).

Almost surely, 2^252107520 is an apocalyptic number.

252107520 is a gapful number since it is divisible by the number (20) 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 252107520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469760256).

252107520 is an abundant number, since it is smaller than the sum of its proper divisors (687412992).

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

252107520 is a wasteful number, since it uses less digits than its factorization.

252107520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 252107520 is about 15877.8940669095. The cubic root of 252107520 is about 631.7257796623.

Adding to 252107520 its reverse (25701252), we get a palindrome (277808772).

The spelling of 252107520 in words is "two hundred fifty-two million, one hundred seven thousand, five hundred twenty".