613323650522352 has 640 divisors, whose sum is σ = 2036991626477568. Its totient is φ = 154409022259200.

The previous prime is 613323650522279. The next prime is 613323650522353. The reversal of 613323650522352 is 253225056323316.

It is a super-2 number, since 2×613323650522352² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613323650522353) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7723369527 + ... + 7723448937.

Almost surely, 2^{613323650522352} 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 613323650522352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018495813238784).

613323650522352 is an abundant number, since it is smaller than the sum of its proper divisors (1423667975955216).

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

613323650522352 is a wasteful number, since it uses less digits than its factorization.

613323650522352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79917 (or 79911 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 48.

The spelling of 613323650522352 in words is "six hundred thirteen trillion, three hundred twenty-three billion, six hundred fifty million, five hundred twenty-two thousand, three hundred fifty-two".