252987592 has 48 divisors (see below), whose sum is σ = 560375280. Its totient is φ = 106142400.

The previous prime is 252987577. The next prime is 252987613. The reversal of 252987592 is 295789252.

It is a super-3 number, since 3×252987592³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6367 + ... + 23377.

It is an arithmetic number, because the mean of its divisors is an integer number (11674485).

Almost surely, 2^252987592 is an apocalyptic number.

252987592 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 252987592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280187640).

252987592 is an abundant number, since it is smaller than the sum of its proper divisors (307387688).

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

252987592 is a wasteful number, since it uses less digits than its factorization.

252987592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17054 (or 17037 counting only the distinct ones).

The product of its digits is 907200, while the sum is 49.

The square root of 252987592 is about 15905.5836736663. The cubic root of 252987592 is about 632.4600146573.

The spelling of 252987592 in words is "two hundred fifty-two million, nine hundred eighty-seven thousand, five hundred ninety-two".