405152316410657 has 2 divisors, whose sum is σ = 405152316410658. Its totient is φ = 405152316410656.

The previous prime is 405152316410627. The next prime is 405152316410671. The reversal of 405152316410657 is 756014613251504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 223162935172321 + 181989381238336 = 14938639^2 + 13490344^2 .

It is a cyclic number.

It is not a de Polignac number, because 405152316410657 - 2¹² = 405152316406561 is a prime.

It is a super-2 number, since 2×405152316410657² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (405152316410627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202576158205328 + 202576158205329.

It is an arithmetic number, because the mean of its divisors is an integer number (202576158205329).

Almost surely, 2^{405152316410657} is an apocalyptic number.

It is an amenable number.

405152316410657 is a deficient number, since it is larger than the sum of its proper divisors (1).

405152316410657 is an equidigital number, since it uses as much as digits as its factorization.

405152316410657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3024000, while the sum is 50.

The spelling of 405152316410657 in words is "four hundred five trillion, one hundred fifty-two billion, three hundred sixteen million, four hundred ten thousand, six hundred fifty-seven".