1040540013 has 40 divisors (see below), whose sum is σ = 1589373720. Its totient is φ = 678222720.

The previous prime is 1040540009. The next prime is 1040540023. The reversal of 1040540013 is 3100450401.

It is a happy number.

1040540013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 154703844 + 885836169 = 12438^2 + 29763^2 .

It is not a de Polignac number, because 1040540013 - 2² = 1040540009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040540023) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 972843 + ... + 973911.

It is an arithmetic number, because the mean of its divisors is an integer number (39734343).

Almost surely, 2^1040540013 is an apocalyptic number.

It is an amenable number.

1040540013 is a deficient number, since it is larger than the sum of its proper divisors (548833707).

1040540013 is a wasteful number, since it uses less digits than its factorization.

1040540013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1040540013 is about 32257.4024527704. The cubic root of 1040540013 is about 1013.3347322113.

Adding to 1040540013 its reverse (3100450401), we get a palindrome (4140990414).

The spelling of 1040540013 in words is "one billion, forty million, five hundred forty thousand, thirteen".