1113577520 has 240 divisors, whose sum is σ = 3088489824. Its totient is φ = 371712000.

The previous prime is 1113577519. The next prime is 1113577573. The reversal of 1113577520 is 257753111.

Added to its reverse (257753111) it gives a cube (1371330631 = 1111³).

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

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, 11025470 + ... + 11025570.

Almost surely, 2^1113577520 is an apocalyptic number.

1113577520 is a gapful number since it is divisible by the number (10) 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 1113577520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544244912).

1113577520 is an abundant number, since it is smaller than the sum of its proper divisors (1974912304).

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

1113577520 is a wasteful number, since it uses less digits than its factorization.

1113577520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 32.

The square root of 1113577520 is about 33370.3089587136. The cubic root of 1113577520 is about 1036.5099728818.

Adding to 1113577520 its reverse (257753111), we get a cube (1371330631 = 1111³).

It can be divided in two parts, 11 and 13577520, that added together give a palindrome (13577531).

The spelling of 1113577520 in words is "one billion, one hundred thirteen million, five hundred seventy-seven thousand, five hundred twenty".