21117073253 has 8 divisors (see below), whose sum is σ = 21428567160. Its totient is φ = 20807720640.

The previous prime is 21117073213. The next prime is 21117073267. The reversal of 21117073253 is 35237071112.

It can be written as a sum of positive squares in 4 ways, for example, as 4217593249 + 16899480004 = 64943^2 + 129998^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 21117073253 - 2⁶ = 21117073189 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21117073213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 515450 + ... + 554907.

It is an arithmetic number, because the mean of its divisors is an integer number (2678570895).

Almost surely, 2^21117073253 is an apocalyptic number.

It is an amenable number.

21117073253 is a deficient number, since it is larger than the sum of its proper divisors (311493907).

21117073253 is a wasteful number, since it uses less digits than its factorization.

21117073253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070647.

The product of its (nonzero) digits is 8820, while the sum is 32.

The spelling of 21117073253 in words is "twenty-one billion, one hundred seventeen million, seventy-three thousand, two hundred fifty-three".