413057640557 has 12 divisors (see below), whose sum is σ = 418425603420. Its totient is φ = 407757587328.

The previous prime is 413057640553. The next prime is 413057640571. The reversal of 413057640557 is 755046750314.

It can be written as a sum of positive squares in 2 ways, for example, as 412490200516 + 567440041 = 642254^2 + 23821^2 .

It is not a de Polignac number, because 413057640557 - 2² = 413057640553 is a prime.

It is a super-2 number, since 2×413057640557² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413057640553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8911919 + ... + 8958147.

It is an arithmetic number, because the mean of its divisors is an integer number (34868800285).

Almost surely, 2^413057640557 is an apocalyptic number.

It is an amenable number.

413057640557 is a deficient number, since it is larger than the sum of its proper divisors (5367962863).

413057640557 is an equidigital number, since it uses as much as digits as its factorization.

413057640557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47692 (or 47609 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 47.

The spelling of 413057640557 in words is "four hundred thirteen billion, fifty-seven million, six hundred forty thousand, five hundred fifty-seven".