2579801342977 has 16 divisors (see below), whose sum is σ = 2673470293200. Its totient is φ = 2487470487552.

The previous prime is 2579801342959. The next prime is 2579801342981. The reversal of 2579801342977 is 7792431089752.

It is a Cunningham number, because it is equal to 1606176²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 271358688241 + 2308442654736 = 520921^2 + 1519356^2 .

It is not a de Polignac number, because 2579801342977 - 2¹⁹ = 2579800818689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2579801342477) 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, 1846773 + ... + 2927485.

It is an arithmetic number, because the mean of its divisors is an integer number (167091893325).

Almost surely, 2^{2579801342977} is an apocalyptic number.

It is an amenable number.

2579801342977 is a deficient number, since it is larger than the sum of its proper divisors (93668950223).

2579801342977 is a wasteful number, since it uses less digits than its factorization.

2579801342977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081332.

The product of its (nonzero) digits is 53343360, while the sum is 64.

The spelling of 2579801342977 in words is "two trillion, five hundred seventy-nine billion, eight hundred one million, three hundred forty-two thousand, nine hundred seventy-seven".