417523313 has 2 divisors, whose sum is σ = 417523314. Its totient is φ = 417523312.

The previous prime is 417523307. The next prime is 417523319. The reversal of 417523313 is 313325714.

It is a balanced prime because it is at equal distance from previous prime (417523307) and next prime (417523319).

It can be written as a sum of positive squares in only one way, i.e., 413390224 + 4133089 = 20332^2 + 2033^2 .

It is a cyclic number.

It is not a de Polignac number, because 417523313 - 2¹² = 417519217 is a prime.

It is not a weakly prime, because it can be changed into another prime (417523319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208761656 + 208761657.

It is an arithmetic number, because the mean of its divisors is an integer number (208761657).

Almost surely, 2^417523313 is an apocalyptic number.

It is an amenable number.

417523313 is a deficient number, since it is larger than the sum of its proper divisors (1).

417523313 is an equidigital number, since it uses as much as digits as its factorization.

417523313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7560, while the sum is 29.

The square root of 417523313 is about 20433.3872130883. The cubic root of 417523313 is about 747.4123045632.

The spelling of 417523313 in words is "four hundred seventeen million, five hundred twenty-three thousand, three hundred thirteen".