252406601 has 2 divisors, whose sum is σ = 252406602. Its totient is φ = 252406600.

The previous prime is 252406573. The next prime is 252406607. The reversal of 252406601 is 106604252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 195328576 + 57078025 = 13976^2 + 7555^2 .

It is a cyclic number.

It is not a de Polignac number, because 252406601 - 2¹⁰ = 252405577 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (252406607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126203300 + 126203301.

It is an arithmetic number, because the mean of its divisors is an integer number (126203301).

Almost surely, 2^252406601 is an apocalyptic number.

It is an amenable number.

252406601 is a deficient number, since it is larger than the sum of its proper divisors (1).

252406601 is an equidigital number, since it uses as much as digits as its factorization.

252406601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 252406601 is about 15887.3094323740. The cubic root of 252406601 is about 631.9754912584.

The spelling of 252406601 in words is "two hundred fifty-two million, four hundred six thousand, six hundred one".