252391601 has 18 divisors (see below), whose sum is σ = 322723170. Its totient is φ = 196664160.

The previous prime is 252391589. The next prime is 252391621. The reversal of 252391601 is 106193252.

It can be written as a sum of positive squares in only one way, i.e., 209554576 + 42837025 = 14476^2 + 6545^2 .

It is a de Polignac number, because none of the positive numbers 2^k-252391601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (252391621) 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 17 ways as a sum of consecutive naturals, for example, 15356 + ... + 27213.

It is an arithmetic number, because the mean of its divisors is an integer number (17929065).

Almost surely, 2^252391601 is an apocalyptic number.

It is an amenable number.

252391601 is a deficient number, since it is larger than the sum of its proper divisors (70331569).

252391601 is a wasteful number, since it uses less digits than its factorization.

252391601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42605 (or 42587 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 252391601 is about 15886.8373504609. The cubic root of 252391601 is about 631.9629720134.

The spelling of 252391601 in words is "two hundred fifty-two million, three hundred ninety-one thousand, six hundred one".