252586261 has 2 divisors, whose sum is σ = 252586262. Its totient is φ = 252586260.

The previous prime is 252586249. The next prime is 252586333. The reversal of 252586261 is 162685252.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 208947025 + 43639236 = 14455^2 + 6606^2 .

It is a cyclic number.

It is not a de Polignac number, because 252586261 - 2²⁷ = 118368533 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 252586261.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252596261) 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 as a sum of consecutive naturals, namely, 126293130 + 126293131.

It is an arithmetic number, because the mean of its divisors is an integer number (126293131).

Almost surely, 2^252586261 is an apocalyptic number.

It is an amenable number.

252586261 is a deficient number, since it is larger than the sum of its proper divisors (1).

252586261 is an equidigital number, since it uses as much as digits as its factorization.

252586261 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 57600, while the sum is 37.

The square root of 252586261 is about 15892.9626250111. The cubic root of 252586261 is about 632.1253998952.

The spelling of 252586261 in words is "two hundred fifty-two million, five hundred eighty-six thousand, two hundred sixty-one".