863909253 has 16 divisors (see below), whose sum is σ = 1282019200. Its totient is φ = 574970400.

The previous prime is 863909251. The next prime is 863909317. The reversal of 863909253 is 352909368.

863909253 is a `hidden beast` number, since 8 + 6 + 390 + 9 + 253 = 666.

It is not a de Polignac number, because 863909253 - 2¹ = 863909251 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 863909199 and 863909208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (863909251) 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, 10393 + ... + 42846.

It is an arithmetic number, because the mean of its divisors is an integer number (80126200).

Almost surely, 2^863909253 is an apocalyptic number.

It is an amenable number.

863909253 is a deficient number, since it is larger than the sum of its proper divisors (418109947).

863909253 is a wasteful number, since it uses less digits than its factorization.

863909253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53849 (or 53843 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 863909253 is about 29392.3332350462. Note that the first 3 decimals coincide. The cubic root of 863909253 is about 952.4072846701.

It can be divided in two parts, 863 and 909253, that added together give a square (910116 = 954²).

The spelling of 863909253 in words is "eight hundred sixty-three million, nine hundred nine thousand, two hundred fifty-three".