85153337028629 has 2 divisors, whose sum is σ = 85153337028630. Its totient is φ = 85153337028628.

The previous prime is 85153337028583. The next prime is 85153337028673. The reversal of 85153337028629 is 92682073335158.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84418884600625 + 734452428004 = 9187975^2 + 857002^2 .

It is a cyclic number.

It is not a de Polignac number, because 85153337028629 - 2⁸ = 85153337028373 is a prime.

It is a super-2 number, since 2×85153337028629² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85153337028679) 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, 42576668514314 + 42576668514315.

It is an arithmetic number, because the mean of its divisors is an integer number (42576668514315).

Almost surely, 2^{85153337028629} is an apocalyptic number.

It is an amenable number.

85153337028629 is a deficient number, since it is larger than the sum of its proper divisors (1).

85153337028629 is an equidigital number, since it uses as much as digits as its factorization.

85153337028629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 65318400, while the sum is 62.

The spelling of 85153337028629 in words is "eighty-five trillion, one hundred fifty-three billion, three hundred thirty-seven million, twenty-eight thousand, six hundred twenty-nine".