405152315362057 has 2 divisors, whose sum is σ = 405152315362058. Its totient is φ = 405152315362056.

The previous prime is 405152315362049. The next prime is 405152315362063. The reversal of 405152315362057 is 750263513251504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 310914895262841 + 94237420099216 = 17632779^2 + 9707596^2 .

It is a cyclic number.

It is not a de Polignac number, because 405152315362057 - 2³ = 405152315362049 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 405152315362057.

It is not a weakly prime, because it can be changed into another prime (405152315362007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202576157681028 + 202576157681029.

It is an arithmetic number, because the mean of its divisors is an integer number (202576157681029).

Almost surely, 2^{405152315362057} is an apocalyptic number.

It is an amenable number.

405152315362057 is a deficient number, since it is larger than the sum of its proper divisors (1).

405152315362057 is an equidigital number, since it uses as much as digits as its factorization.

405152315362057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3780000, while the sum is 49.

The spelling of 405152315362057 in words is "four hundred five trillion, one hundred fifty-two billion, three hundred fifteen million, three hundred sixty-two thousand, fifty-seven".