1013295360 has 576 divisors, whose sum is σ = 4238438400. Its totient is φ = 200048640.

The previous prime is 1013295343. The next prime is 1013295391. The reversal of 1013295360 is 635923101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6800566 + ... + 6800714.

It is an arithmetic number, because the mean of its divisors is an integer number (7358400).

Almost surely, 2^1013295360 is an apocalyptic number.

1013295360 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 1013295360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2119219200).

1013295360 is an abundant number, since it is smaller than the sum of its proper divisors (3225143040).

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

1013295360 is a wasteful number, since it uses less digits than its factorization.

1013295360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 1013295360 is about 31832.3005766156. The cubic root of 1013295360 is about 1004.4122897327.

The spelling of 1013295360 in words is "one billion, thirteen million, two hundred ninety-five thousand, three hundred sixty".