2579361269521 has 27 divisors (see below), whose sum is σ = 2655919192521. Its totient is φ = 2504996845704.

The previous prime is 2579361269509. The next prime is 2579361269539. The reversal of 2579361269521 is 1259621639752.

It is a happy number.

The square root of 2579361269521 is 1606039.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 2579361269521 - 2¹¹ = 2579361267473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2579361269501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15445276980 + ... + 15445277146.

Almost surely, 2^{2579361269521} is an apocalyptic number.

2579361269521 is the 1606039-th square number.

2579361269521 is the 803020-th centered octagonal number.

It is an amenable number.

2579361269521 is a deficient number, since it is larger than the sum of its proper divisors (76557923000).

2579361269521 is an frugal number, since it uses more digits than its factorization.

2579361269521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 389 counting only the distinct ones).

The product of its digits is 12247200, while the sum is 58.

The spelling of 2579361269521 in words is "two trillion, five hundred seventy-nine billion, three hundred sixty-one million, two hundred sixty-nine thousand, five hundred twenty-one".