3079579246129 has 27 divisors (see below), whose sum is σ = 3243318907563. Its totient is φ = 2924011509552.

The previous prime is 3079579246099. The next prime is 3079579246141. The reversal of 3079579246129 is 9216429759703.

The square root of 3079579246129 is 1754873.

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., 2755649800225 + 323929445904 = 1660015^2 + 569148^2 .

It is not a de Polignac number, because 3079579246129 - 2¹³ = 3079579237937 is a prime.

It is a super-2 number, since 2×3079579246129² (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 (3079579241129) 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, 2792002392 + ... + 2792003494.

Almost surely, 2^{3079579246129} is an apocalyptic number.

3079579246129 is the 1754873-rd square number.

3079579246129 is the 877437-th centered octagonal number.

It is an amenable number.

3079579246129 is a deficient number, since it is larger than the sum of its proper divisors (163739661434).

3079579246129 is an frugal number, since it uses more digits than its factorization.

3079579246129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 64.

Multiplying 3079579246129 by its sum of digits (64), we get a square (197093071752256 = 14038984²).

The spelling of 3079579246129 in words is "three trillion, seventy-nine billion, five hundred seventy-nine million, two hundred forty-six thousand, one hundred twenty-nine".