413014055153553 has 60 divisors (see below), whose sum is σ = 744174704444160. Its totient is φ = 223586556062544.

The previous prime is 413014055153501. The next prime is 413014055153587. The reversal of 413014055153553 is 355351550410314.

413014055153553 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 1 + 40 + 5 + 5 + 1 + 53 + 553 = 666.

It is not a de Polignac number, because 413014055153553 - 2⁹ = 413014055153041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413014055153499 and 413014055153508.

It is not an unprimeable number, because it can be changed into a prime (413014055153593) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1008687073 + ... + 1009096446.

It is an arithmetic number, because the mean of its divisors is an integer number (12402911740736).

Almost surely, 2^{413014055153553} is an apocalyptic number.

It is an amenable number.

413014055153553 is a deficient number, since it is larger than the sum of its proper divisors (331160649290607).

413014055153553 is a wasteful number, since it uses less digits than its factorization.

413014055153553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017783576 (or 2017783548 counting only the distinct ones).

The product of its (nonzero) digits is 1350000, while the sum is 45.

The spelling of 413014055153553 in words is "four hundred thirteen trillion, fourteen billion, fifty-five million, one hundred fifty-three thousand, five hundred fifty-three".