413461225017 has 12 divisors (see below), whose sum is σ = 608490105444. Its totient is φ = 270440046240.

The previous prime is 413461225013. The next prime is 413461225031. The reversal of 413461225017 is 710522164314.

413461225017 is a `hidden beast` number, since 4 + 1 + 3 + 4 + 612 + 25 + 0 + 17 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 367570588176 + 45890636841 = 606276^2 + 214221^2 .

It is not a de Polignac number, because 413461225017 - 2² = 413461225013 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413461225013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 433397034 + ... + 433397987.

It is an arithmetic number, because the mean of its divisors is an integer number (50707508787).

Almost surely, 2^413461225017 is an apocalyptic number.

It is an amenable number.

413461225017 is a deficient number, since it is larger than the sum of its proper divisors (195028880427).

413461225017 is a wasteful number, since it uses less digits than its factorization.

413461225017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866795080 (or 866795077 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 413461225017 in words is "four hundred thirteen billion, four hundred sixty-one million, two hundred twenty-five thousand, seventeen".