413405113322025 has 72 divisors (see below), whose sum is σ = 807776748979200. Its totient is φ = 200436805008000.

The previous prime is 413405113321961. The next prime is 413405113322029. The reversal of 413405113322025 is 520223311504314.

413405113322025 is a `hidden beast` number, since 4 + 1 + 3 + 405 + 1 + 1 + 3 + 3 + 220 + 25 = 666.

It is not a de Polignac number, because 413405113322025 - 2⁶ = 413405113321961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413405113322029) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 258660051 + ... + 260253399.

It is an arithmetic number, because the mean of its divisors is an integer number (11219121513600).

Almost surely, 2^{413405113322025} is an apocalyptic number.

413405113322025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

413405113322025 is a deficient number, since it is larger than the sum of its proper divisors (394371635657175).

413405113322025 is a wasteful number, since it uses less digits than its factorization.

413405113322025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698207 (or 1698199 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 413405113322025 its reverse (520223311504314), we get a palindrome (933628424826339).

The spelling of 413405113322025 in words is "four hundred thirteen trillion, four hundred five billion, one hundred thirteen million, three hundred twenty-two thousand, twenty-five".