613087765128 has 576 divisors, whose sum is σ = 1950655896000. Its totient is φ = 177869094912.

The previous prime is 613087765067. The next prime is 613087765133. The reversal of 613087765128 is 821567780316.

It is a happy number.

613087765128 is a `hidden beast` number, since 613 + 0 + 8 + 7 + 7 + 6 + 5 + 12 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 143 ways as a sum of consecutive naturals, for example, 6320492376 + ... + 6320492472.

It is an arithmetic number, because the mean of its divisors is an integer number (3386555375).

Almost surely, 2^613087765128 is an apocalyptic number.

613087765128 is a gapful number since it is divisible by the number (68) 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 613087765128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975327948000).

613087765128 is an abundant number, since it is smaller than the sum of its proper divisors (1337568130872).

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

613087765128 is a wasteful number, since it uses less digits than its factorization.

613087765128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 613087765128 in words is "six hundred thirteen billion, eighty-seven million, seven hundred sixty-five thousand, one hundred twenty-eight".