1013040024 has 64 divisors (see below), whose sum is σ = 2673216000. Its totient is φ = 319029120.

The previous prime is 1013040019. The next prime is 1013040031. The reversal of 1013040024 is 4200403101.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 1013039985 and 1013040012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174529 + ... + 180239.

It is an arithmetic number, because the mean of its divisors is an integer number (41769000).

Almost surely, 2^1013040024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013040024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336608000).

1013040024 is an abundant number, since it is smaller than the sum of its proper divisors (1660175976).

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

1013040024 is a wasteful number, since it uses less digits than its factorization.

1013040024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6128 (or 6124 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1013040024 is about 31828.2896807227. The cubic root of 1013040024 is about 1004.3279167811.

Adding to 1013040024 its reverse (4200403101), we get a palindrome (5213443125).

The spelling of 1013040024 in words is "one billion, thirteen million, forty thousand, twenty-four".