1013575360 has 224 divisors, whose sum is σ = 2993379840. Its totient is φ = 318947328.

The previous prime is 1013575313. The next prime is 1013575393. The reversal of 1013575360 is 635753101.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1637131 + ... + 1637749.

Almost surely, 2^1013575360 is an apocalyptic number.

1013575360 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 1013575360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496689920).

1013575360 is an abundant number, since it is smaller than the sum of its proper divisors (1979804480).

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

1013575360 is a wasteful number, since it uses less digits than its factorization.

1013575360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 31.

The square root of 1013575360 is about 31836.6983212770. The cubic root of 1013575360 is about 1004.5047963377.

The spelling of 1013575360 in words is "one billion, thirteen million, five hundred seventy-five thousand, three hundred sixty".