252528003 has 64 divisors (see below), whose sum is σ = 466636800. Its totient is φ = 131414400.

The previous prime is 252527999. The next prime is 252528007. The reversal of 252528003 is 300825252.

It is an interprime number because it is at equal distance from previous prime (252527999) and next prime (252528007).

It is not a de Polignac number, because 252528003 - 2² = 252527999 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (252528007) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 193453 + ... + 194753.

It is an arithmetic number, because the mean of its divisors is an integer number (7291200).

Almost surely, 2^252528003 is an apocalyptic number.

252528003 is a deficient number, since it is larger than the sum of its proper divisors (214108797).

252528003 is a wasteful number, since it uses less digits than its factorization.

252528003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 252528003 is about 15891.1296955251. The cubic root of 252528003 is about 632.0767971023.

The spelling of 252528003 in words is "two hundred fifty-two million, five hundred twenty-eight thousand, three".