1013759712 has 240 divisors, whose sum is σ = 3468769920. Its totient is φ = 284435712.

The previous prime is 1013759689. The next prime is 1013759717. The reversal of 1013759712 is 2179573101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013759717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1070023 + ... + 1070969.

It is an arithmetic number, because the mean of its divisors is an integer number (14453208).

Almost surely, 2^1013759712 is an apocalyptic number.

1013759712 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 1013759712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734384960).

1013759712 is an abundant number, since it is smaller than the sum of its proper divisors (2455010208).

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

1013759712 is an equidigital number, since it uses as much as digits as its factorization.

1013759712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The square root of 1013759712 is about 31839.5934647413. The cubic root of 1013759712 is about 1004.5656933858.

The spelling of 1013759712 in words is "one billion, thirteen million, seven hundred fifty-nine thousand, seven hundred twelve".