2561249661006 has 32 divisors (see below), whose sum is σ = 5256698186880. Its totient is φ = 831615187104.

The previous prime is 2561249660993. The next prime is 2561249661013. The reversal of 2561249661006 is 6001669421652.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28927900 + ... + 29016303.

It is an arithmetic number, because the mean of its divisors is an integer number (164271818340).

Almost surely, 2^{2561249661006} is an apocalyptic number.

2561249661006 is an abundant number, since it is smaller than the sum of its proper divisors (2695448525874).

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

2561249661006 is a wasteful number, since it uses less digits than its factorization.

2561249661006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57944400.

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 2561249661006 in words is "two trillion, five hundred sixty-one billion, two hundred forty-nine million, six hundred sixty-one thousand, six".