9967808253 has 16 divisors (see below), whose sum is σ = 15066054080. Its totient is φ = 5811191424.

The previous prime is 9967808239. The next prime is 9967808267. The reversal of 9967808253 is 3528087699.

9967808253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9967808239) and next prime (9967808267).

It is not a de Polignac number, because 9967808253 - 2²⁵ = 9934253821 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9967808193 and 9967808202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9967808153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6725176 + ... + 6726657.

It is an arithmetic number, because the mean of its divisors is an integer number (941628380).

Almost surely, 2^9967808253 is an apocalyptic number.

It is an amenable number.

9967808253 is a deficient number, since it is larger than the sum of its proper divisors (5098245827).

9967808253 is a wasteful number, since it uses less digits than its factorization.

9967808253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13451868.

The product of its (nonzero) digits is 6531840, while the sum is 57.

The square root of 9967808253 is about 99838.9115175040. The cubic root of 9967808253 is about 2152.1203709710.

The spelling of 9967808253 in words is "nine billion, nine hundred sixty-seven million, eight hundred eight thousand, two hundred fifty-three".