252583417 has 12 divisors (see below), whose sum is σ = 262920060. Its totient is φ = 242638592.

The previous prime is 252583393. The next prime is 252583421. The reversal of 252583417 is 714385252.

It can be written as a sum of positive squares in 6 ways, for example, as 281961 + 252301456 = 531^2 + 15884^2 .

It is not a de Polignac number, because 252583417 - 2¹¹ = 252581369 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252583427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 195309 + ... + 196597.

It is an arithmetic number, because the mean of its divisors is an integer number (21910005).

Almost surely, 2^252583417 is an apocalyptic number.

It is an amenable number.

252583417 is a deficient number, since it is larger than the sum of its proper divisors (10336643).

252583417 is a wasteful number, since it uses less digits than its factorization.

252583417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1551 counting only the distinct ones).

The product of its digits is 67200, while the sum is 37.

The square root of 252583417 is about 15892.8731511958. The cubic root of 252583417 is about 632.1230274101.

The spelling of 252583417 in words is "two hundred fifty-two million, five hundred eighty-three thousand, four hundred seventeen".