252545132 has 48 divisors (see below), whose sum is σ = 537768000. Its totient is φ = 101302272.

The previous prime is 252545119. The next prime is 252545173. The reversal of 252545132 is 231545252.

It is a junction number, because it is equal to n+sod(n) for n = 252545095 and 252545104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90494 + ... + 93242.

It is an arithmetic number, because the mean of its divisors is an integer number (11203500).

Almost surely, 2^252545132 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 252545132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268884000).

252545132 is an abundant number, since it is smaller than the sum of its proper divisors (285222868).

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

252545132 is a wasteful number, since it uses less digits than its factorization.

252545132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2970 (or 2968 counting only the distinct ones).

The product of its digits is 12000, while the sum is 29.

The square root of 252545132 is about 15891.6686348539. The cubic root of 252545132 is about 632.0910880569.

The spelling of 252545132 in words is "two hundred fifty-two million, five hundred forty-five thousand, one hundred thirty-two".