613121376105 has 576 divisors, whose sum is σ = 1399396497408. Its totient is φ = 256074255360.

The previous prime is 613121376047. The next prime is 613121376121. The reversal of 613121376105 is 501673121316.

613121376105 is a `hidden beast` number, since 6 + 1 + 3 + 1 + 2 + 1 + 37 + 610 + 5 = 666.

It is not a de Polignac number, because 613121376105 - 2⁶ = 613121376041 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 613121376105.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3761480754 + ... + 3761480916.

It is an arithmetic number, because the mean of its divisors is an integer number (2429507808).

Almost surely, 2^613121376105 is an apocalyptic number.

It is an amenable number.

613121376105 is an abundant number, since it is smaller than the sum of its proper divisors (786275121303).

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

613121376105 is a wasteful number, since it uses less digits than its factorization.

613121376105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 613121376105 in words is "six hundred thirteen billion, one hundred twenty-one million, three hundred seventy-six thousand, one hundred five".