16253613106929 has 135 divisors (see below), whose sum is σ = 26954772711867. Its totient is φ = 9753191078400.

The previous prime is 16253613106909. The next prime is 16253613106981. The reversal of 16253613106929 is 92960131635261.

The square root of 16253613106929 is 4031577.

It is a perfect power (a square), and thus also a powerful number.

16253613106929 is a `hidden beast` number, since 1 + 6 + 2 + 5 + 3 + 613 + 10 + 6 + 9 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3938061647025 + 12315551459904 = 1984455^2 + 3509352^2 .

It is not a de Polignac number, because 16253613106929 - 2³⁵ = 16219253368561 is a prime.

It is a super-2 number, since 2×16253613106929² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16253613106909) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 77031341634 + ... + 77031341844.

Almost surely, 2^{16253613106929} is an apocalyptic number.

16253613106929 is the 4031577-th square number.

16253613106929 is the 2015789-th centered octagonal number.

It is an amenable number.

16253613106929 is a deficient number, since it is larger than the sum of its proper divisors (10701159604938).

16253613106929 is an frugal number, since it uses more digits than its factorization.

16253613106929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 16253613106929 in words is "sixteen trillion, two hundred fifty-three billion, six hundred thirteen million, one hundred six thousand, nine hundred twenty-nine".