413617588101 has 12 divisors (see below), whose sum is σ = 597554980620. Its totient is φ = 275695511040.

The previous prime is 413617588081. The next prime is 413617588123. The reversal of 413617588101 is 101885716314.

413617588101 is a `hidden beast` number, since 4 + 1 + 3 + 61 + 7 + 588 + 1 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 135254772900 + 278362815201 = 367770^2 + 527601^2 .

It is not a de Polignac number, because 413617588101 - 2⁶ = 413617588037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413617584101) 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, 4076070 + ... + 4176311.

It is an arithmetic number, because the mean of its divisors is an integer number (49796248385).

Almost surely, 2^413617588101 is an apocalyptic number.

It is an amenable number.

413617588101 is a deficient number, since it is larger than the sum of its proper divisors (183937392519).

413617588101 is a wasteful number, since it uses less digits than its factorization.

413617588101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8257956 (or 8257953 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 413617588101 in words is "four hundred thirteen billion, six hundred seventeen million, five hundred eighty-eight thousand, one hundred one".