13613335761006 has 64 divisors (see below), whose sum is σ = 31567788426240. Its totient is φ = 4340396823840.

The previous prime is 13613335760989. The next prime is 13613335761019. The reversal of 13613335761006 is 60016753331631.

13613335761006 is a `hidden beast` number, since 1 + 3 + 61 + 3 + 3 + 3 + 576 + 10 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94905316 + ... + 95048648.

It is an arithmetic number, because the mean of its divisors is an integer number (493246694160).

Almost surely, 2^{13613335761006} is an apocalyptic number.

13613335761006 is an abundant number, since it is smaller than the sum of its proper divisors (17954452665234).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13613335761006 is a wasteful number, since it uses less digits than its factorization.

13613335761006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219838 (or 219832 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 13613335761006 in words is "thirteen trillion, six hundred thirteen billion, three hundred thirty-five million, seven hundred sixty-one thousand, six".