6005510006013 has 128 divisors (see below), whose sum is σ = 10334996582400. Its totient is φ = 3375824449536.

The previous prime is 6005510006011. The next prime is 6005510006051. The reversal of 6005510006013 is 3106000155006.

It is a happy number.

6005510006013 is a `hidden beast` number, since 6 + 0 + 0 + 5 + 51 + 0 + 0 + 0 + 601 + 3 = 666.

It is not a de Polignac number, because 6005510006013 - 2¹ = 6005510006011 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6005510006011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3485495370 + ... + 3485497092.

It is an arithmetic number, because the mean of its divisors is an integer number (80742160800).

Almost surely, 2^{6005510006013} is an apocalyptic number.

6005510006013 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

6005510006013 is a deficient number, since it is larger than the sum of its proper divisors (4329486576387).

6005510006013 is a wasteful number, since it uses less digits than its factorization.

6005510006013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 6005510006013 in words is "six trillion, five billion, five hundred ten million, six thousand, thirteen".