1013267712 has 72 divisors (see below), whose sum is σ = 2703606976. Its totient is φ = 336900096.

The previous prime is 1013267707. The next prime is 1013267713. The reversal of 1013267712 is 2177623101.

It is a super-2 number, since 2×1013267712² = 2053422912363429888, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1013267712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013267713) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 349533 + ... + 352419.

Almost surely, 2^1013267712 is an apocalyptic number.

1013267712 is a gapful number since it is divisible by the number (12) 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 1013267712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351803488).

1013267712 is an abundant number, since it is smaller than the sum of its proper divisors (1690339264).

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

1013267712 is an equidigital number, since it uses as much as digits as its factorization.

1013267712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3363 (or 3349 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 1013267712 is about 31831.8662977840. The cubic root of 1013267712 is about 1004.4031544418.

The spelling of 1013267712 in words is "one billion, thirteen million, two hundred sixty-seven thousand, seven hundred twelve".