613153567104 has 192 divisors, whose sum is σ = 1764788916240. Its totient is φ = 188536578048.

The previous prime is 613153567063. The next prime is 613153567127. The reversal of 613153567104 is 401765351316.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158149614 + ... + 158153490.

Almost surely, 2^613153567104 is an apocalyptic number.

613153567104 is a gapful number since it is divisible by the number (64) 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 613153567104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882394458120).

613153567104 is an abundant number, since it is smaller than the sum of its proper divisors (1151635349136).

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

613153567104 is a wasteful number, since it uses less digits than its factorization.

613153567104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6357 (or 6332 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The spelling of 613153567104 in words is "six hundred thirteen billion, one hundred fifty-three million, five hundred sixty-seven thousand, one hundred four".