407613313 has 2 divisors, whose sum is σ = 407613314. Its totient is φ = 407613312.

The previous prime is 407613307. The next prime is 407613319. The reversal of 407613313 is 313316704.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (407613307) and next prime (407613319).

It can be written as a sum of positive squares in only one way, i.e., 400280049 + 7333264 = 20007^2 + 2708^2 .

It is a cyclic number.

It is not a de Polignac number, because 407613313 - 2¹⁷ = 407482241 is a prime.

It is a super-2 number, since 2×407613313² = 332297225869671938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (407613319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203806656 + 203806657.

It is an arithmetic number, because the mean of its divisors is an integer number (203806657).

Almost surely, 2^407613313 is an apocalyptic number.

It is an amenable number.

407613313 is a deficient number, since it is larger than the sum of its proper divisors (1).

407613313 is an equidigital number, since it uses as much as digits as its factorization.

407613313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 407613313 is about 20189.4356780966. The cubic root of 407613313 is about 741.4515658056.

The spelling of 407613313 in words is "four hundred seven million, six hundred thirteen thousand, three hundred thirteen".