4013500000 has 168 divisors, whose sum is σ = 10335805200. Its totient is φ = 1531200000.

The previous prime is 4013499953. The next prime is 4013500019. The reversal of 4013500000 is 53104.

4013500000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4013500000² = 32216364500000000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 11499826 + ... + 11500174.

It is an arithmetic number, because the mean of its divisors is an integer number (61522650).

Almost surely, 2^4013500000 is an apocalyptic number.

4013500000 is a gapful number since it is divisible by the number (40) 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 4013500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5167902600).

4013500000 is an abundant number, since it is smaller than the sum of its proper divisors (6322305200).

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

4013500000 is an frugal number, since it uses more digits than its factorization.

4013500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 4013500000 is about 63352.1901752418. The cubic root of 4013500000 is about 1589.1848728557.

Adding to 4013500000 its reverse (53104), we get a palindrome (4013553104).

The spelling of 4013500000 in words is "four billion, thirteen million, five hundred thousand".