2129812812769 has 2 divisors, whose sum is σ = 2129812812770. Its totient is φ = 2129812812768.

The previous prime is 2129812812749. The next prime is 2129812812901. The reversal of 2129812812769 is 9672182189212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1923436134400 + 206376678369 = 1386880^2 + 454287^2 .

It is a cyclic number.

It is not a de Polignac number, because 2129812812769 - 2²⁵ = 2129779258337 is a prime.

It is a super-2 number, since 2×2129812812769² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2129812812719) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1064906406384 + 1064906406385.

It is an arithmetic number, because the mean of its divisors is an integer number (1064906406385).

Almost surely, 2^{2129812812769} is an apocalyptic number.

It is an amenable number.

2129812812769 is a deficient number, since it is larger than the sum of its proper divisors (1).

2129812812769 is an equidigital number, since it uses as much as digits as its factorization.

2129812812769 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3483648, while the sum is 58.

The spelling of 2129812812769 in words is "two trillion, one hundred twenty-nine billion, eight hundred twelve million, eight hundred twelve thousand, seven hundred sixty-nine".