9015309540 has 288 divisors, whose sum is σ = 29363233536. Its totient is φ = 2233820160.

The previous prime is 9015309529. The next prime is 9015309551. The reversal of 9015309540 is 459035109.

It is an interprime number because it is at equal distance from previous prime (9015309529) and next prime (9015309551).

Together with 20347923995 it forms a betrothed pair.

It is a super-2 number, since 2×9015309540² (a number of 21 digits) contains 22 as substring.

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 = 9015309495 and 9015309504.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39714907 + ... + 39715133.

It is an arithmetic number, because the mean of its divisors is an integer number (101955672).

Almost surely, 2^9015309540 is an apocalyptic number.

9015309540 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 9015309540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14681616768).

9015309540 is an abundant number, since it is smaller than the sum of its proper divisors (20347923996).

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

9015309540 is a wasteful number, since it uses less digits than its factorization.

9015309540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 494 counting only the distinct ones).

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

The square root of 9015309540 is about 94948.9838808189. The cubic root of 9015309540 is about 2081.2626040413.

The spelling of 9015309540 in words is "nine billion, fifteen million, three hundred nine thousand, five hundred forty".