1013505440 has 48 divisors (see below), whose sum is σ = 2399507712. Its totient is φ = 404538624.

The previous prime is 1013505433. The next prime is 1013505463. The reversal of 1013505440 is 445053101.

1013505440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71417 + ... + 84423.

It is an arithmetic number, because the mean of its divisors is an integer number (49989744).

Almost surely, 2^1013505440 is an apocalyptic number.

1013505440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013505440 is an abundant number, since it is smaller than the sum of its proper divisors (1386002272).

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

1013505440 is a wasteful number, since it uses less digits than its factorization.

1013505440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13509 (or 13501 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 1013505440 is about 31835.6001985199. The cubic root of 1013505440 is about 1004.4816977131.

Adding to 1013505440 its reverse (445053101), we get a palindrome (1458558541).

The spelling of 1013505440 in words is "one billion, thirteen million, five hundred five thousand, four hundred forty".