252648319 has 16 divisors (see below), whose sum is σ = 325854720. Its totient is φ = 190078560.

The previous prime is 252648313. The next prime is 252648343. The reversal of 252648319 is 913846252.

It is not a de Polignac number, because 252648319 - 2⁵ = 252648287 is a prime.

It is a super-2 number, since 2×252648319² = 127662346187051522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252648313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54339 + ... + 58804.

It is an arithmetic number, because the mean of its divisors is an integer number (20365920).

Almost surely, 2^252648319 is an apocalyptic number.

252648319 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

252648319 is a deficient number, since it is larger than the sum of its proper divisors (73206401).

252648319 is a wasteful number, since it uses less digits than its factorization.

252648319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113190.

The product of its digits is 103680, while the sum is 40.

The square root of 252648319 is about 15894.9148786648. The cubic root of 252648319 is about 632.1771646872.

The spelling of 252648319 in words is "two hundred fifty-two million, six hundred forty-eight thousand, three hundred nineteen".