252416398307 has 2 divisors, whose sum is σ = 252416398308. Its totient is φ = 252416398306.

The previous prime is 252416398219. The next prime is 252416398319. The reversal of 252416398307 is 703893614252.

252416398307 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 is a cyclic number.

It is not a de Polignac number, because 252416398307 - 2¹⁰ = 252416397283 is a prime.

It is not a weakly prime, because it can be changed into another prime (252416398807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126208199153 + 126208199154.

It is an arithmetic number, because the mean of its divisors is an integer number (126208199154).

It is a 2-persistent number, because it is pandigital, and so is 2⋅252416398307 = 504832796614, but 3⋅252416398307 = 757249194921 is not.

Almost surely, 2^252416398307 is an apocalyptic number.

252416398307 is a deficient number, since it is larger than the sum of its proper divisors (1).

252416398307 is an equidigital number, since it uses as much as digits as its factorization.

252416398307 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2177280, while the sum is 50.

The spelling of 252416398307 in words is "two hundred fifty-two billion, four hundred sixteen million, three hundred ninety-eight thousand, three hundred seven".