252513504 has 192 divisors, whose sum is σ = 782369280. Its totient is φ = 79073280.

The previous prime is 252513487. The next prime is 252513509. The reversal of 252513504 is 405315252.

It is a happy number.

252513504 is a `hidden beast` number, since 2 + 525 + 135 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252513509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1927519 + ... + 1927649.

It is an arithmetic number, because the mean of its divisors is an integer number (4074840).

Almost surely, 2^252513504 is an apocalyptic number.

252513504 is a gapful number since it is divisible by the number (24) 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 252513504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391184640).

252513504 is an abundant number, since it is smaller than the sum of its proper divisors (529855776).

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

252513504 is a wasteful number, since it uses less digits than its factorization.

252513504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 252513504 is about 15890.6734910765. The cubic root of 252513504 is about 632.0646998869.

Adding to 252513504 its reverse (405315252), we get a palindrome (657828756).

The spelling of 252513504 in words is "two hundred fifty-two million, five hundred thirteen thousand, five hundred four".