9001539540 has 144 divisors (see below), whose sum is σ = 31231968768. Its totient is φ = 2055739392.

The previous prime is 9001539529. The next prime is 9001539571. The reversal of 9001539540 is 459351009.

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

It is a junction number, because it is equal to n+sod(n) for n = 9001539495 and 9001539504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1992324 + ... + 1996836.

It is an arithmetic number, because the mean of its divisors is an integer number (216888672).

Almost surely, 2^9001539540 is an apocalyptic number.

9001539540 is a gapful number since it is divisible by the number (90) 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 9001539540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15615984384).

9001539540 is an abundant number, since it is smaller than the sum of its proper divisors (22230429228).

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

9001539540 is a wasteful number, since it uses less digits than its factorization.

9001539540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6118 (or 6113 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 9001539540 is about 94876.4435463303. The cubic root of 9001539540 is about 2080.2024226692.

The spelling of 9001539540 in words is "nine billion, one million, five hundred thirty-nine thousand, five hundred forty".