819528057 has 16 divisors (see below), whose sum is σ = 1216756480. Its totient is φ = 545163696.

The previous prime is 819528053. The next prime is 819528089. The reversal of 819528057 is 750825918.

It is a happy number.

It is not a de Polignac number, because 819528057 - 2² = 819528053 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (819528053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20278 + ... + 45279.

It is an arithmetic number, because the mean of its divisors is an integer number (76047280).

Almost surely, 2^819528057 is an apocalyptic number.

It is an amenable number.

819528057 is a deficient number, since it is larger than the sum of its proper divisors (397228423).

819528057 is a wasteful number, since it uses less digits than its factorization.

819528057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66029 (or 66023 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The square root of 819528057 is about 28627.4004583022. The cubic root of 819528057 is about 935.8105611850.

It can be divided in two parts, 81952 and 8057, that added together give a palindrome (90009).

The spelling of 819528057 in words is "eight hundred nineteen million, five hundred twenty-eight thousand, fifty-seven".