252413761 has 2 divisors, whose sum is σ = 252413762. Its totient is φ = 252413760.

The previous prime is 252413737. The next prime is 252413783. The reversal of 252413761 is 167314252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 231983361 + 20430400 = 15231^2 + 4520^2 .

It is a cyclic number.

It is not a de Polignac number, because 252413761 - 2¹⁷ = 252282689 is a prime.

It is not a weakly prime, because it can be changed into another prime (252414761) 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, 126206880 + 126206881.

It is an arithmetic number, because the mean of its divisors is an integer number (126206881).

Almost surely, 2^252413761 is an apocalyptic number.

It is an amenable number.

252413761 is a deficient number, since it is larger than the sum of its proper divisors (1).

252413761 is an equidigital number, since it uses as much as digits as its factorization.

252413761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10080, while the sum is 31.

The square root of 252413761 is about 15887.5347678612. The cubic root of 252413761 is about 631.9814669364.

The spelling of 252413761 in words is "two hundred fifty-two million, four hundred thirteen thousand, seven hundred sixty-one".