1013037480 has 576 divisors, whose sum is σ = 4344762240. Its totient is φ = 199286784.

The previous prime is 1013037479. The next prime is 1013037511. The reversal of 1013037480 is 847303101.

1013037480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9467587 + ... + 9467693.

It is an arithmetic number, because the mean of its divisors is an integer number (7542990).

Almost surely, 2^1013037480 is an apocalyptic number.

1013037480 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 1013037480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172381120).

1013037480 is an abundant number, since it is smaller than the sum of its proper divisors (3331724760).

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

1013037480 is a wasteful number, since it uses less digits than its factorization.

1013037480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1013037480 is about 31828.2497162505. The cubic root of 1013037480 is about 1004.3270760732.

The spelling of 1013037480 in words is "one billion, thirteen million, thirty-seven thousand, four hundred eighty".