1013268540 has 48 divisors (see below), whose sum is σ = 2856218400. Its totient is φ = 268389120.

The previous prime is 1013268539. The next prime is 1013268541. The reversal of 1013268540 is 458623101.

It is an interprime number because it is at equal distance from previous prime (1013268539) and next prime (1013268541).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1013268498 and 1013268507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013268541) 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 15 ways as a sum of consecutive naturals, for example, 47731 + ... + 65610.

It is an arithmetic number, because the mean of its divisors is an integer number (59504550).

Almost surely, 2^1013268540 is an apocalyptic number.

1013268540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013268540 is an abundant number, since it is smaller than the sum of its proper divisors (1842949860).

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

1013268540 is a wasteful number, since it uses less digits than its factorization.

1013268540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113502 (or 113500 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 1013268540 is about 31831.8793036164. The cubic root of 1013268540 is about 1004.4034280272.

The spelling of 1013268540 in words is "one billion, thirteen million, two hundred sixty-eight thousand, five hundred forty".