1013290560 has 336 divisors, whose sum is σ = 3681228096. Its totient is φ = 265254912.

The previous prime is 1013290541. The next prime is 1013290573. The reversal of 1013290560 is 650923101.

1013290560 is a `hidden beast` number, since 1 + 0 + 13 + 2 + 90 + 560 = 666.

It is a super-2 number, since 2×1013290560² = 2053515517970227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 6454002 + ... + 6454158.

It is an arithmetic number, because the mean of its divisors is an integer number (10956036).

Almost surely, 2^1013290560 is an apocalyptic number.

1013290560 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 1013290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1840614048).

1013290560 is an abundant number, since it is smaller than the sum of its proper divisors (2667937536).

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

1013290560 is an equidigital number, since it uses as much as digits as its factorization.

1013290560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 1013290560 is about 31832.2251814101. The cubic root of 1013290560 is about 1004.4107037566.

The spelling of 1013290560 in words is "one billion, thirteen million, two hundred ninety thousand, five hundred sixty".