413560993 has 2 divisors, whose sum is σ = 413560994. Its totient is φ = 413560992.

The previous prime is 413560969. The next prime is 413561009. The reversal of 413560993 is 399065314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 330076224 + 83484769 = 18168^2 + 9137^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-413560993 is a prime.

It is a super-2 number, since 2×413560993² = 342065389862292098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (413560093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206780496 + 206780497.

It is an arithmetic number, because the mean of its divisors is an integer number (206780497).

Almost surely, 2^413560993 is an apocalyptic number.

It is an amenable number.

413560993 is a deficient number, since it is larger than the sum of its proper divisors (1).

413560993 is an equidigital number, since it uses as much as digits as its factorization.

413560993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 87480, while the sum is 40.

The square root of 413560993 is about 20336.1990794740. The cubic root of 413560993 is about 745.0404572417.

The spelling of 413560993 in words is "four hundred thirteen million, five hundred sixty thousand, nine hundred ninety-three".