413149416257 has 2 divisors, whose sum is σ = 413149416258. Its totient is φ = 413149416256.

The previous prime is 413149416221. The next prime is 413149416283. The reversal of 413149416257 is 752614941314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 403795431601 + 9353984656 = 635449^2 + 96716^2 .

It is a cyclic number.

It is not a de Polignac number, because 413149416257 - 2⁶ = 413149416193 is a prime.

It is not a weakly prime, because it can be changed into another prime (413149419257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206574708128 + 206574708129.

It is an arithmetic number, because the mean of its divisors is an integer number (206574708129).

Almost surely, 2^413149416257 is an apocalyptic number.

It is an amenable number.

413149416257 is a deficient number, since it is larger than the sum of its proper divisors (1).

413149416257 is an equidigital number, since it uses as much as digits as its factorization.

413149416257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 725760, while the sum is 47.

The spelling of 413149416257 in words is "four hundred thirteen billion, one hundred forty-nine million, four hundred sixteen thousand, two hundred fifty-seven".