2679353218129 has 27 divisors (see below), whose sum is σ = 3135341663643. Its totient is φ = 2283005700528.

The previous prime is 2679353218121. The next prime is 2679353218141. The reversal of 2679353218129 is 9218123539762.

It is a happy number.

The square root of 2679353218129 is 1636873.

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

It can be written as a sum of positive squares in only one way, i.e., 2625226265025 + 54126953104 = 1620255^2 + 232652^2 .

It is not a de Polignac number, because 2679353218129 - 2³ = 2679353218121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2679353218121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2257247274 + ... + 2257248460.

Almost surely, 2^{2679353218129} is an apocalyptic number.

2679353218129 is the 1636873-rd square number.

2679353218129 is the 818437-th centered octagonal number.

It is an amenable number.

2679353218129 is a deficient number, since it is larger than the sum of its proper divisors (455988445514).

2679353218129 is an frugal number, since it uses more digits than its factorization.

2679353218129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2782 (or 1391 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 58.

The spelling of 2679353218129 in words is "two trillion, six hundred seventy-nine billion, three hundred fifty-three million, two hundred eighteen thousand, one hundred twenty-nine".