413315657 has 2 divisors, whose sum is σ = 413315658. Its totient is φ = 413315656.

The previous prime is 413315647. The next prime is 413315659. The reversal of 413315657 is 756513314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 408888841 + 4426816 = 20221^2 + 2104^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-413315657 is a prime.

It is a super-3 number, since 3×413315657³ (a number of 27 digits) contains 333 as substring.

Together with 413315659, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (413315659) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206657828 + 206657829.

It is an arithmetic number, because the mean of its divisors is an integer number (206657829).

Almost surely, 2^413315657 is an apocalyptic number.

It is an amenable number.

413315657 is a deficient number, since it is larger than the sum of its proper divisors (1).

413315657 is an equidigital number, since it uses as much as digits as its factorization.

413315657 is an evil number, because the sum of its binary digits is even.

The product of its digits is 37800, while the sum is 35.

The square root of 413315657 is about 20330.1661823016. The cubic root of 413315657 is about 744.8931017890.

The spelling of 413315657 in words is "four hundred thirteen million, three hundred fifteen thousand, six hundred fifty-seven".