613293252 has 192 divisors, whose sum is σ = 1801820160. Its totient is φ = 159667200.

The previous prime is 613293203. The next prime is 613293253. The reversal of 613293252 is 252392316.

It is a super-2 number, since 2×613293252² = 752257225897471008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (613293253) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1617999 + ... + 1618377.

It is an arithmetic number, because the mean of its divisors is an integer number (9384480).

Almost surely, 2^613293252 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 613293252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900910080).

613293252 is an abundant number, since it is smaller than the sum of its proper divisors (1188526908).

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

613293252 is a wasteful number, since it uses less digits than its factorization.

613293252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 472 counting only the distinct ones).

The product of its digits is 19440, while the sum is 33.

The square root of 613293252 is about 24764.7582665367. The cubic root of 613293252 is about 849.6160905287.

The spelling of 613293252 in words is "six hundred thirteen million, two hundred ninety-three thousand, two hundred fifty-two".