2579506621541 has 16 divisors (see below), whose sum is σ = 2599376801280. Its totient is φ = 2559716121600.

The previous prime is 2579506621519. The next prime is 2579506621547. The reversal of 2579506621541 is 1451266059752.

It is a cyclic number.

It is not a de Polignac number, because 2579506621541 - 2²⁶ = 2579439512677 is a prime.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2579506621547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318886625 + ... + 318894713.

It is an arithmetic number, because the mean of its divisors is an integer number (162461050080).

Almost surely, 2^{2579506621541} is an apocalyptic number.

It is an amenable number.

2579506621541 is a deficient number, since it is larger than the sum of its proper divisors (19870179739).

2579506621541 is a wasteful number, since it uses less digits than its factorization.

2579506621541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12716.

The product of its (nonzero) digits is 4536000, while the sum is 53.

The spelling of 2579506621541 in words is "two trillion, five hundred seventy-nine billion, five hundred six million, six hundred twenty-one thousand, five hundred forty-one".