1013508288 has 224 divisors, whose sum is σ = 3254166720. Its totient is φ = 311288832.

The previous prime is 1013508253. The next prime is 1013508299. The reversal of 1013508288 is 8828053101.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1819306 + ... + 1819862.

It is an arithmetic number, because the mean of its divisors is an integer number (14527530).

Almost surely, 2^1013508288 is an apocalyptic number.

1013508288 is a gapful number since it is divisible by the number (18) 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 1013508288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627083360).

1013508288 is an abundant number, since it is smaller than the sum of its proper divisors (2240658432).

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

1013508288 is an frugal number, since it uses more digits than its factorization.

1013508288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 1013508288 is about 31835.6449282875. The cubic root of 1013508288 is about 1004.4826385931.

The spelling of 1013508288 in words is "one billion, thirteen million, five hundred eight thousand, two hundred eighty-eight".