413140993 has 2 divisors, whose sum is σ = 413140994. Its totient is φ = 413140992.

The previous prime is 413140967. The next prime is 413141009. The reversal of 413140993 is 399041314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 304397809 + 108743184 = 17447^2 + 10428^2 .

It is a cyclic number.

It is not a de Polignac number, because 413140993 - 2¹⁷ = 413009921 is a prime.

It is not a weakly prime, because it can be changed into another prime (413140913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206570496 + 206570497.

It is an arithmetic number, because the mean of its divisors is an integer number (206570497).

Almost surely, 2^413140993 is an apocalyptic number.

It is an amenable number.

413140993 is a deficient number, since it is larger than the sum of its proper divisors (1).

413140993 is an equidigital number, since it uses as much as digits as its factorization.

413140993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 413140993 is about 20325.8700428789. The cubic root of 413140993 is about 744.7881583170.

The spelling of 413140993 in words is "four hundred thirteen million, one hundred forty thousand, nine hundred ninety-three".