252886761 has 12 divisors (see below), whose sum is σ = 366878980. Its totient is φ = 167853600.

The previous prime is 252886759. The next prime is 252886763. The reversal of 252886761 is 167688252.

252886761 is a `hidden beast` number, since 2 + 528 + 8 + 67 + 61 = 666.

It is an interprime number because it is at equal distance from previous prime (252886759) and next prime (252886763).

It can be written as a sum of positive squares in 2 ways, for example, as 241025625 + 11861136 = 15525^2 + 3444^2 .

It is not a de Polignac number, because 252886761 - 2¹ = 252886759 is a prime.

It is a super-2 number, since 2×252886761² = 127903427778142242, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (252886763) 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, 59290 + ... + 63411.

Almost surely, 2^252886761 is an apocalyptic number.

It is an amenable number.

252886761 is a deficient number, since it is larger than the sum of its proper divisors (113992219).

252886761 is a wasteful number, since it uses less digits than its factorization.

252886761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122936 (or 122933 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 252886761 is about 15902.4136847209. The cubic root of 252886761 is about 632.3759788496.

The spelling of 252886761 in words is "two hundred fifty-two million, eight hundred eighty-six thousand, seven hundred sixty-one".