29985153431029 has 2 divisors, whose sum is σ = 29985153431030. Its totient is φ = 29985153431028.

The previous prime is 29985153431003. The next prime is 29985153431087. The reversal of 29985153431029 is 92013435158992.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27321549908004 + 2663603523025 = 5227002^2 + 1632055^2 .

It is a cyclic number.

It is not a de Polignac number, because 29985153431029 - 2⁷ = 29985153430901 is a prime.

It is a super-3 number, since 3×29985153431029³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (29985153431929) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14992576715514 + 14992576715515.

It is an arithmetic number, because the mean of its divisors is an integer number (14992576715515).

Almost surely, 2^{29985153431029} is an apocalyptic number.

It is an amenable number.

29985153431029 is a deficient number, since it is larger than the sum of its proper divisors (1).

29985153431029 is an equidigital number, since it uses as much as digits as its factorization.

29985153431029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20995200, while the sum is 61.

The spelling of 29985153431029 in words is "twenty-nine trillion, nine hundred eighty-five billion, one hundred fifty-three million, four hundred thirty-one thousand, twenty-nine".