1006513553164 has 24 divisors (see below), whose sum is σ = 2013182599680. Its totient is φ = 431329631376.

The previous prime is 1006513553131. The next prime is 1006513553167. The reversal of 1006513553164 is 4613553156001.

It is not an unprimeable number, because it can be changed into a prime (1006513553167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1017634 + ... + 1746025.

It is an arithmetic number, because the mean of its divisors is an integer number (83882608320).

Almost surely, 2^{1006513553164} is an apocalyptic number.

1006513553164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1006513553164 is an abundant number, since it is smaller than the sum of its proper divisors (1006669046516).

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

1006513553164 is a wasteful number, since it uses less digits than its factorization.

1006513553164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2776677 (or 2776675 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 40.

The spelling of 1006513553164 in words is "one trillion, six billion, five hundred thirteen million, five hundred fifty-three thousand, one hundred sixty-four".