613696512 has 264 divisors, whose sum is σ = 1951495168. Its totient is φ = 170311680.

The previous prime is 613696507. The next prime is 613696513. The reversal of 613696512 is 215696316.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×613696512² = 753246817681932288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (613696513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4832193 + ... + 4832319.

Almost surely, 2^613696512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 613696512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975747584).

613696512 is an abundant number, since it is smaller than the sum of its proper divisors (1337798656).

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

613696512 is a wasteful number, since it uses less digits than its factorization.

613696512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 156 counting only the distinct ones).

The product of its digits is 58320, while the sum is 39.

The square root of 613696512 is about 24772.8987403574. The cubic root of 613696512 is about 849.8022663466.

The spelling of 613696512 in words is "six hundred thirteen million, six hundred ninety-six thousand, five hundred twelve".