1013287284 has 72 divisors (see below), whose sum is σ = 2673550152. Its totient is φ = 323281920.

The previous prime is 1013287267. The next prime is 1013287307. The reversal of 1013287284 is 4827823101.

1013287284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 138384 + 1013148900 = 372^2 + 31830^2 .

It is a super-2 number, since 2×1013287284² = 2053502239832193312, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71752 + ... + 84704.

It is an arithmetic number, because the mean of its divisors is an integer number (37132641).

Almost surely, 2^1013287284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013287284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336775076).

1013287284 is an abundant number, since it is smaller than the sum of its proper divisors (1660262868).

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

1013287284 is a wasteful number, since it uses less digits than its factorization.

1013287284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13057 (or 13052 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1013287284 is about 31832.1737240799. The cubic root of 1013287284 is about 1004.4096213251.

The spelling of 1013287284 in words is "one billion, thirteen million, two hundred eighty-seven thousand, two hundred eighty-four".