1013576040 has 96 divisors (see below), whose sum is σ = 3487915080. Its totient is φ = 254386176.

The previous prime is 1013576017. The next prime is 1013576041. The reversal of 1013576040 is 406753101.

1013576040 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 57 + 604 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1011621636 + 1954404 = 31806^2 + 1398^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1013575995 and 1013576013.

It is not an unprimeable number, because it can be changed into a prime (1013576041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76689 + ... + 88928.

Almost surely, 2^1013576040 is an apocalyptic number.

1013576040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013576040 is an abundant number, since it is smaller than the sum of its proper divisors (2474339040).

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

1013576040 is a wasteful number, since it uses less digits than its factorization.

1013576040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165651 (or 165644 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1013576040 is about 31836.7090007746. The cubic root of 1013576040 is about 1004.5050209759.

The spelling of 1013576040 in words is "one billion, thirteen million, five hundred seventy-six thousand, forty".