613286352 has 180 divisors, whose sum is σ = 2083929120. Its totient is φ = 167561856.

The previous prime is 613286263. The next prime is 613286353. The reversal of 613286352 is 253682316.

It is a happy number.

613286352 is a `hidden beast` number, since 6 + 13 + 2 + 8 + 635 + 2 = 666.

It is a super-2 number, since 2×613286352² = 752240299098935808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613286353) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 160399 + ... + 164177.

It is an arithmetic number, because the mean of its divisors is an integer number (11577384).

Almost surely, 2^613286352 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 613286352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041964560).

613286352 is an abundant number, since it is smaller than the sum of its proper divisors (1470642768).

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

613286352 is a wasteful number, since it uses less digits than its factorization.

613286352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3830 (or 3814 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 613286352 is about 24764.6189552757. The cubic root of 613286352 is about 849.6129042482.

The spelling of 613286352 in words is "six hundred thirteen million, two hundred eighty-six thousand, three hundred fifty-two".