613100625120 has 864 divisors, whose sum is σ = 2287167049440. Its totient is φ = 155047219200.

The previous prime is 613100625113. The next prime is 613100625149. The reversal of 613100625120 is 21526001316.

613100625120 is a `hidden beast` number, since 6 + 1 + 3 + 10 + 0 + 625 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2279184346 + ... + 2279184614.

It is an arithmetic number, because the mean of its divisors is an integer number (2647184085).

Almost surely, 2^613100625120 is an apocalyptic number.

613100625120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 613100625120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143583524720).

613100625120 is an abundant number, since it is smaller than the sum of its proper divisors (1674066424320).

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

613100625120 is a wasteful number, since it uses less digits than its factorization.

613100625120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 613100625120 its reverse (21526001316), we get a palindrome (634626626436).

The spelling of 613100625120 in words is "six hundred thirteen billion, one hundred million, six hundred twenty-five thousand, one hundred twenty".