819133425 has 48 divisors (see below), whose sum is σ = 1641591360. Its totient is φ = 397152000.

The previous prime is 819133397. The next prime is 819133433. The reversal of 819133425 is 524331918.

It is not a de Polignac number, because 819133425 - 2⁷ = 819133297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 819133425.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47736 + ... + 62585.

It is an arithmetic number, because the mean of its divisors is an integer number (34199820).

Almost surely, 2^819133425 is an apocalyptic number.

It is an amenable number.

819133425 is an abundant number, since it is smaller than the sum of its proper divisors (822457935).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

819133425 is a wasteful number, since it uses less digits than its factorization.

819133425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110351 (or 110340 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 819133425 is about 28620.5070709797. The cubic root of 819133425 is about 935.6603283434.

It can be divided in two parts, 8191 and 33425, that added together give a triangular number (41616 = T₂₈₈).

The spelling of 819133425 in words is "eight hundred nineteen million, one hundred thirty-three thousand, four hundred twenty-five".