2513208006 has 64 divisors (see below), whose sum is σ = 5775206400. Its totient is φ = 809287200.

The previous prime is 2513207969. The next prime is 2513208053. The reversal of 2513208006 is 6008023152.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1386841 + ... + 1388651.

It is an arithmetic number, because the mean of its divisors is an integer number (90237600).

Almost surely, 2^2513208006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2513208006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887603200).

2513208006 is an abundant number, since it is smaller than the sum of its proper divisors (3261998394).

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

2513208006 is a wasteful number, since it uses less digits than its factorization.

2513208006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2682 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2513208006 is about 50131.9060678925. The cubic root of 2513208006 is about 1359.5947476951.

The spelling of 2513208006 in words is "two billion, five hundred thirteen million, two hundred eight thousand, six".