413952313 has 4 divisors (see below), whose sum is σ = 421762788. Its totient is φ = 406141840.

The previous prime is 413952311. The next prime is 413952317. The reversal of 413952313 is 313259314.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 313259314 = 2 ⋅156629657.

It can be written as a sum of positive squares in 2 ways, for example, as 266766889 + 147185424 = 16333^2 + 12132^2 .

It is a cyclic number.

It is not a de Polignac number, because 413952313 - 2¹ = 413952311 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413952311) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3905158 + ... + 3905263.

It is an arithmetic number, because the mean of its divisors is an integer number (105440697).

Almost surely, 2^413952313 is an apocalyptic number.

It is an amenable number.

413952313 is a deficient number, since it is larger than the sum of its proper divisors (7810475).

413952313 is an equidigital number, since it uses as much as digits as its factorization.

413952313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7810474.

The product of its digits is 9720, while the sum is 31.

The square root of 413952313 is about 20345.8180715350. The cubic root of 413952313 is about 745.2753740805.

The spelling of 413952313 in words is "four hundred thirteen million, nine hundred fifty-two thousand, three hundred thirteen".