9013413721 has 27 divisors (see below), whose sum is σ = 9999666621. Its totient is φ = 8120702304.

The previous prime is 9013413709. The next prime is 9013413751. The reversal of 9013413721 is 1273143109.

The square root of 9013413721 is 94939.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 315240025 + 8698173696 = 17755^2 + 93264^2 .

It is not a de Polignac number, because 9013413721 - 2¹⁵ = 9013380953 is a prime.

It is a super-2 number, since 2×9013413721² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9013413751) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 82691815 + ... + 82691923.

It is an arithmetic number, because the mean of its divisors is an integer number (370358023).

Almost surely, 2^9013413721 is an apocalyptic number.

9013413721 is the 94939-th square number.

9013413721 is the 47470-th centered octagonal number.

It is an amenable number.

9013413721 is a deficient number, since it is larger than the sum of its proper divisors (986252900).

9013413721 is an equidigital number, since it uses as much as digits as its factorization.

9013413721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The cubic root of 9013413721 is about 2081.1167050465.

The spelling of 9013413721 in words is "nine billion, thirteen million, four hundred thirteen thousand, seven hundred twenty-one".