993415935601 has 16 divisors (see below), whose sum is σ = 1013120409616. Its totient is φ = 973827360000.

The previous prime is 993415935583. The next prime is 993415935607. The reversal of 993415935601 is 106539514399.

It is a happy number.

993415935601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 190313190001 + 803102745600 = 436249^2 + 896160^2 .

It is a 3-Lehmer number, since φ(993415935601) divides (993415935601-1)³.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 993415935601 - 2⁵ = 993415935569 is a prime.

It is a super-2 number, since 2×993415935601² (a number of 25 digits) contains 22 as substring.

It is a deceptive number, since it divides R_993415935600.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (993415935607) 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, 21790891 + ... + 21836431.

It is an arithmetic number, because the mean of its divisors is an integer number (63320025601).

It is a Poulet number, since it divides 2^993415935600-1.

Almost surely, 2^993415935601 is an apocalyptic number.

It is an amenable number.

993415935601 is a deficient number, since it is larger than the sum of its proper divisors (19704474015).

993415935601 is a wasteful number, since it uses less digits than its factorization.

993415935601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46804.

The product of its (nonzero) digits is 3936600, while the sum is 55.

The spelling of 993415935601 in words is "nine hundred ninety-three billion, four hundred fifteen million, nine hundred thirty-five thousand, six hundred one".