2579801342981 has 2 divisors, whose sum is σ = 2579801342982. Its totient is φ = 2579801342980.

The previous prime is 2579801342959. The next prime is 2579801342983. The reversal of 2579801342981 is 1892431089752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2446302452356 + 133498890625 = 1564066^2 + 365375^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2579801342981 is a prime.

It is a super-2 number, since 2×2579801342981² (a number of 26 digits) contains 22 as substring.

Together with 2579801342983, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2579801342981.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2579801342983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1289900671490 + 1289900671491.

It is an arithmetic number, because the mean of its divisors is an integer number (1289900671491).

Almost surely, 2^{2579801342981} is an apocalyptic number.

It is an amenable number.

2579801342981 is a deficient number, since it is larger than the sum of its proper divisors (1).

2579801342981 is an equidigital number, since it uses as much as digits as its factorization.

2579801342981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8709120, while the sum is 59.

The spelling of 2579801342981 in words is "two trillion, five hundred seventy-nine billion, eight hundred one million, three hundred forty-two thousand, nine hundred eighty-one".