613105520661312 has 224 divisors, whose sum is σ = 1980339502977792. Its totient is φ = 163409695604736.

The previous prime is 613105520661287. The next prime is 613105520661353. The reversal of 613105520661312 is 213166025501316.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×613105520661312² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116153133 + ... + 121316780.

Almost surely, 2^{613105520661312} is an apocalyptic number.

It is an amenable number.

613105520661312 is an abundant number, since it is smaller than the sum of its proper divisors (1367233982316480).

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

613105520661312 is a wasteful number, since it uses less digits than its factorization.

613105520661312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237470065 (or 237470055 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 613105520661312 in words is "six hundred thirteen trillion, one hundred five billion, five hundred twenty million, six hundred sixty-one thousand, three hundred twelve".