33514145129 has 2 divisors, whose sum is σ = 33514145130. Its totient is φ = 33514145128.

The previous prime is 33514145053. The next prime is 33514145141. The reversal of 33514145129 is 92154141533.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33408528400 + 105616729 = 182780^2 + 10277^2 .

It is a cyclic number.

It is not a de Polignac number, because 33514145129 - 2²⁴ = 33497367913 is a prime.

It is a super-2 number, since 2×33514145129² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33514145092 and 33514145101.

It is not a weakly prime, because it can be changed into another prime (33514145029) 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 as a sum of consecutive naturals, namely, 16757072564 + 16757072565.

It is an arithmetic number, because the mean of its divisors is an integer number (16757072565).

Almost surely, 2^33514145129 is an apocalyptic number.

It is an amenable number.

33514145129 is a deficient number, since it is larger than the sum of its proper divisors (1).

33514145129 is an equidigital number, since it uses as much as digits as its factorization.

33514145129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 64800, while the sum is 38.

The spelling of 33514145129 in words is "thirty-three billion, five hundred fourteen million, one hundred forty-five thousand, one hundred twenty-nine".