252972305 has 8 divisors (see below), whose sum is σ = 303698472. Its totient is φ = 202290048.

The previous prime is 252972259. The next prime is 252972347. The reversal of 252972305 is 503279252.

It can be written as a sum of positive squares in 4 ways, for example, as 156775441 + 96196864 = 12521^2 + 9808^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 252972305 - 2¹⁰ = 252971281 is a prime.

It is a Duffinian number.

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 7 ways as a sum of consecutive naturals, for example, 3419 + ... + 22751.

It is an arithmetic number, because the mean of its divisors is an integer number (37962309).

Almost surely, 2^252972305 is an apocalyptic number.

It is an amenable number.

252972305 is a deficient number, since it is larger than the sum of its proper divisors (50726167).

252972305 is a wasteful number, since it uses less digits than its factorization.

252972305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21955.

The product of its (nonzero) digits is 37800, while the sum is 35.

The square root of 252972305 is about 15905.1031118946. The cubic root of 252972305 is about 632.4472754147.

The spelling of 252972305 in words is "two hundred fifty-two million, nine hundred seventy-two thousand, three hundred five".