252102520 has 64 divisors (see below), whose sum is σ = 604350720. Its totient is φ = 94316544.

The previous prime is 252102511. The next prime is 252102523. The reversal of 252102520 is 25201252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252102523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116569 + ... + 118711.

It is an arithmetic number, because the mean of its divisors is an integer number (9442980).

Almost surely, 2^252102520 is an apocalyptic number.

252102520 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 252102520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302175360).

252102520 is an abundant number, since it is smaller than the sum of its proper divisors (352248200).

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

252102520 is a wasteful number, since it uses less digits than its factorization.

252102520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 252102520 is about 15877.7366145178. The cubic root of 252102520 is about 631.7216033360.

Adding to 252102520 its reverse (25201252), we get a palindrome (277303772).

It can be divided in two parts, 25210 and 2520, that added together give a triangular number (27730 = T₂₃₅).

The spelling of 252102520 in words is "two hundred fifty-two million, one hundred two thousand, five hundred twenty".