2579553997801 has 9 divisors (see below), whose sum is σ = 2835396954103. Its totient is φ = 2345033027920.

The previous prime is 2579553997781. The next prime is 2579553997817. The reversal of 2579553997801 is 1087993559752.

The square root of 2579553997801 is 1606099.

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

2579553997801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1087638324201 + 1491915673600 = 1042899^2 + 1221440^2 .

It is not a de Polignac number, because 2579553997801 - 2⁹ = 2579553997289 is a prime.

It is a super-2 number, since 2×2579553997801² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2579553997841) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17594085 + ... + 17740093.

Almost surely, 2^{2579553997801} is an apocalyptic number.

2579553997801 is the 1606099-th square number.

2579553997801 is the 803050-th centered octagonal number.

It is an amenable number.

2579553997801 is a deficient number, since it is larger than the sum of its proper divisors (255842956302).

2579553997801 is an frugal number, since it uses more digits than its factorization.

2579553997801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292040 (or 146020 counting only the distinct ones).

The product of its (nonzero) digits is 214326000, while the sum is 70.

The spelling of 2579553997801 in words is "two trillion, five hundred seventy-nine billion, five hundred fifty-three million, nine hundred ninety-seven thousand, eight hundred one".