613007517696 has 288 divisors, whose sum is σ = 1916198968320. Its totient is φ = 173755072512.

The previous prime is 613007517691. The next prime is 613007517701. The reversal of 613007517696 is 696715700316.

It is an interprime number because it is at equal distance from previous prime (613007517691) and next prime (613007517701).

It is not an unprimeable number, because it can be changed into a prime (613007517691) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38226096 + ... + 38242128.

It is an arithmetic number, because the mean of its divisors is an integer number (6653468640).

Almost surely, 2^613007517696 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 613007517696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958099484160).

613007517696 is an abundant number, since it is smaller than the sum of its proper divisors (1303191450624).

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

613007517696 is a wasteful number, since it uses less digits than its factorization.

613007517696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16199 (or 16172 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 51.

It can be divided in two parts, 6130075 and 17696, that added together give a triangular number (6147771 = T₃₅₀₆).

The spelling of 613007517696 in words is "six hundred thirteen billion, seven million, five hundred seventeen thousand, six hundred ninety-six".