819818253 has 20 divisors (see below), whose sum is σ = 1226126880. Its totient is φ = 545893992.

The previous prime is 819818191. The next prime is 819818261. The reversal of 819818253 is 352818918.

It is a happy number.

It is not a de Polignac number, because 819818253 - 2¹⁴ = 819801869 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 819818199 and 819818208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819818053) 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 19 ways as a sum of consecutive naturals, for example, 67888 + ... + 79046.

It is an arithmetic number, because the mean of its divisors is an integer number (61306344).

Almost surely, 2^819818253 is an apocalyptic number.

It is an amenable number.

819818253 is a deficient number, since it is larger than the sum of its proper divisors (406308627).

819818253 is a wasteful number, since it uses less digits than its factorization.

819818253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12078 (or 12069 counting only the distinct ones).

The product of its digits is 138240, while the sum is 45.

The square root of 819818253 is about 28632.4685104166. The cubic root of 819818253 is about 935.9210054142.

The spelling of 819818253 in words is "eight hundred nineteen million, eight hundred eighteen thousand, two hundred fifty-three".