252761261 has 2 divisors, whose sum is σ = 252761262. Its totient is φ = 252761260.

The previous prime is 252761231. The next prime is 252761263. The reversal of 252761261 is 162167252.

252761261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 182520100 + 70241161 = 13510^2 + 8381^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-252761261 is a prime.

Together with 252761263, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252761263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126380630 + 126380631.

It is an arithmetic number, because the mean of its divisors is an integer number (126380631).

Almost surely, 2^252761261 is an apocalyptic number.

It is an amenable number.

252761261 is a deficient number, since it is larger than the sum of its proper divisors (1).

252761261 is an equidigital number, since it uses as much as digits as its factorization.

252761261 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10080, while the sum is 32.

The square root of 252761261 is about 15898.4672531663. The cubic root of 252761261 is about 632.2713518918.

The spelling of 252761261 in words is "two hundred fifty-two million, seven hundred sixty-one thousand, two hundred sixty-one".