4013613504 has 504 divisors, whose sum is σ = 13624316160. Its totient is φ = 1167519744.

The previous prime is 4013613491. The next prime is 4013613529. The reversal of 4013613504 is 4053163104.

4013613504 is a `hidden beast` number, since 40 + 1 + 3 + 613 + 5 + 0 + 4 = 666.

It is a super-2 number, since 2×4013613504² = 32218186718982316032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 71 ways as a sum of consecutive naturals, for example, 85396009 + ... + 85396055.

Almost surely, 2^4013613504 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 4013613504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6812158080).

4013613504 is an abundant number, since it is smaller than the sum of its proper divisors (9610702656).

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

4013613504 is a wasteful number, since it uses less digits than its factorization.

4013613504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 4013613504 is about 63353.0859863985. The cubic root of 4013613504 is about 1589.1998537236.

Adding to 4013613504 its reverse (4053163104), we get a palindrome (8066776608).

The spelling of 4013613504 in words is "four billion, thirteen million, six hundred thirteen thousand, five hundred four".