1013751040 has 36 divisors (see below), whose sum is σ = 2428253604. Its totient is φ = 405499904.

The previous prime is 1013751031. The next prime is 1013751077. The reversal of 1013751040 is 401573101.

It can be written as a sum of positive squares in 2 ways, for example, as 395532544 + 618218496 = 19888^2 + 24864^2 .

It is a super-2 number, since 2×1013751040² = 2055382342202163200, which contains 22 as substring.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 394717 + ... + 397276.

It is an arithmetic number, because the mean of its divisors is an integer number (67451489).

Almost surely, 2^1013751040 is an apocalyptic number.

1013751040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013751040 is an abundant number, since it is smaller than the sum of its proper divisors (1414502564).

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

1013751040 is an frugal number, since it uses more digits than its factorization.

1013751040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792014 (or 792000 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 1013751040 is about 31839.4572818068. The cubic root of 1013751040 is about 1004.5628289271.

The spelling of 1013751040 in words is "one billion, thirteen million, seven hundred fifty-one thousand, forty".