3382097585129 has 2 divisors, whose sum is σ = 3382097585130. Its totient is φ = 3382097585128.

The previous prime is 3382097585081. The next prime is 3382097585161. The reversal of 3382097585129 is 9215857902833.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2554716329104 + 827381256025 = 1598348^2 + 909605^2 .

It is a cyclic number.

It is not a de Polignac number, because 3382097585129 - 2³⁶ = 3313378108393 is a prime.

It is a super-2 number, since 2×3382097585129² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3382097585189) 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 as a sum of consecutive naturals, namely, 1691048792564 + 1691048792565.

It is an arithmetic number, because the mean of its divisors is an integer number (1691048792565).

Almost surely, 2^{3382097585129} is an apocalyptic number.

It is an amenable number.

3382097585129 is a deficient number, since it is larger than the sum of its proper divisors (1).

3382097585129 is an equidigital number, since it uses as much as digits as its factorization.

3382097585129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32659200, while the sum is 62.

The spelling of 3382097585129 in words is "three trillion, three hundred eighty-two billion, ninety-seven million, five hundred eighty-five thousand, one hundred twenty-nine".