413116523 has 12 divisors (see below), whose sum is σ = 424789200. Its totient is φ = 401755536.

The previous prime is 413116499. The next prime is 413116567. The reversal of 413116523 is 325611314.

It is not a de Polignac number, because 413116523 - 2²² = 408922219 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 413116492 and 413116501.

It is not an unprimeable number, because it can be changed into a prime (413118523) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 689378 + ... + 689976.

It is an arithmetic number, because the mean of its divisors is an integer number (35399100).

Almost surely, 2^413116523 is an apocalyptic number.

413116523 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

413116523 is a deficient number, since it is larger than the sum of its proper divisors (11672677).

413116523 is an equidigital number, since it uses as much as digits as its factorization.

413116523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1015 counting only the distinct ones).

The product of its digits is 2160, while the sum is 26.

The square root of 413116523 is about 20325.2680917128. The cubic root of 413116523 is about 744.7734536307.

Adding to 413116523 its reverse (325611314), we get a palindrome (738727837).

The spelling of 413116523 in words is "four hundred thirteen million, one hundred sixteen thousand, five hundred twenty-three".