413310001 has 16 divisors (see below), whose sum is σ = 487544400. Its totient is φ = 346687488.

The previous prime is 413309999. The next prime is 413310019. The reversal of 413310001 is 100013314.

413310001 = 14375² + 14376².

It can be written as a sum of positive squares in 8 ways, for example, as 245025 + 413064976 = 495^2 + 20324^2 .

It is a cyclic number.

It is not a de Polignac number, because 413310001 - 2¹ = 413309999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413310031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25836 + ... + 38653.

It is an arithmetic number, because the mean of its divisors is an integer number (30471525).

Almost surely, 2^413310001 is an apocalyptic number.

413310001 is the 14376-th centered square number.

It is an amenable number.

413310001 is a deficient number, since it is larger than the sum of its proper divisors (74234399).

413310001 is a wasteful number, since it uses less digits than its factorization.

413310001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64548.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 413310001 is about 20330.0270781915. The cubic root of 413310001 is about 744.8897039545.

Adding to 413310001 its reverse (100013314), we get a palindrome (513323315).

The spelling of 413310001 in words is "four hundred thirteen million, three hundred ten thousand, one".