252374761 has 2 divisors, whose sum is σ = 252374762. Its totient is φ = 252374760.

The previous prime is 252374753. The next prime is 252374767. The reversal of 252374761 is 167473252.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 162409536 + 89965225 = 12744^2 + 9485^2 .

It is a cyclic number.

It is not a de Polignac number, because 252374761 - 2³ = 252374753 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 252374761.

It is not a weakly prime, because it can be changed into another prime (252374767) 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 as a sum of consecutive naturals, namely, 126187380 + 126187381.

It is an arithmetic number, because the mean of its divisors is an integer number (126187381).

Almost surely, 2^252374761 is an apocalyptic number.

It is an amenable number.

252374761 is a deficient number, since it is larger than the sum of its proper divisors (1).

252374761 is an equidigital number, since it uses as much as digits as its factorization.

252374761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 70560, while the sum is 37.

The square root of 252374761 is about 15886.3073431178. The cubic root of 252374761 is about 631.9489164835.

It can be divided in two parts, 2523 and 74761, that added together give a square (77284 = 278²).

The spelling of 252374761 in words is "two hundred fifty-two million, three hundred seventy-four thousand, seven hundred sixty-one".