1540110013 has 12 divisors (see below), whose sum is σ = 1670789268. Its totient is φ = 1419000960.

The previous prime is 1540109993. The next prime is 1540110017. The reversal of 1540110013 is 3100110451.

It can be written as a sum of positive squares in 6 ways, for example, as 629156889 + 910953124 = 25083^2 + 30182^2 .

It is not a de Polignac number, because 1540110013 - 2¹³ = 1540101821 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1540110017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85953 + ... + 102313.

It is an arithmetic number, because the mean of its divisors is an integer number (139232439).

Almost surely, 2^1540110013 is an apocalyptic number.

1540110013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1540110013 is a deficient number, since it is larger than the sum of its proper divisors (130679255).

1540110013 is a wasteful number, since it uses less digits than its factorization.

1540110013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16944 (or 16931 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 1540110013 is about 39244.2354110766. The cubic root of 1540110013 is about 1154.8278481326.

Adding to 1540110013 its reverse (3100110451), we get a palindrome (4640220464).

The spelling of 1540110013 in words is "one billion, five hundred forty million, one hundred ten thousand, thirteen".