252611761 has 2 divisors, whose sum is σ = 252611762. Its totient is φ = 252611760.

The previous prime is 252611759. The next prime is 252611791. The reversal of 252611761 is 167116252.

252611761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 251412736 + 1199025 = 15856^2 + 1095^2 .

It is a cyclic number.

It is not a de Polignac number, because 252611761 - 2¹ = 252611759 is a prime.

It is a super-2 number, since 2×252611761² = 127625403591042242, which contains 22 as substring.

Together with 252611759, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (252611731) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126305880 + 126305881.

It is an arithmetic number, because the mean of its divisors is an integer number (126305881).

Almost surely, 2^252611761 is an apocalyptic number.

It is an amenable number.

252611761 is a deficient number, since it is larger than the sum of its proper divisors (1).

252611761 is an equidigital number, since it uses as much as digits as its factorization.

252611761 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5040, while the sum is 31.

The square root of 252611761 is about 15893.7648466309. The cubic root of 252611761 is about 632.1466713811.

The spelling of 252611761 in words is "two hundred fifty-two million, six hundred eleven thousand, seven hundred sixty-one".