12540420513 has 16 divisors (see below), whose sum is σ = 18631648000. Its totient is φ = 8336319120.

The previous prime is 12540420493. The next prime is 12540420523. The reversal of 12540420513 is 31502404521.

12540420513 is a `hidden beast` number, since 125 + 4 + 0 + 4 + 20 + 513 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-12540420513 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12540420523) 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 15 ways as a sum of consecutive naturals, for example, 655993 + ... + 674838.

It is an arithmetic number, because the mean of its divisors is an integer number (1164478000).

Almost surely, 2^12540420513 is an apocalyptic number.

It is an amenable number.

12540420513 is a deficient number, since it is larger than the sum of its proper divisors (6091227487).

12540420513 is a wasteful number, since it uses less digits than its factorization.

12540420513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331189 (or 1331183 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 12540420513 in words is "twelve billion, five hundred forty million, four hundred twenty thousand, five hundred thirteen".