1020057819 has 32 divisors (see below), whose sum is σ = 1525886208. Its totient is φ = 600768000.

The previous prime is 1020057809. The next prime is 1020057853. The reversal of 1020057819 is 9187500201.

It is not a de Polignac number, because 1020057819 - 2⁷ = 1020057691 is a prime.

It is a super-2 number, since 2×1020057819² = 2081035908206073522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 1020057819.

It is not an unprimeable number, because it can be changed into a prime (1020057809) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 378852 + ... + 381534.

It is an arithmetic number, because the mean of its divisors is an integer number (47683944).

Almost surely, 2^1020057819 is an apocalyptic number.

1020057819 is a deficient number, since it is larger than the sum of its proper divisors (505828389).

1020057819 is a wasteful number, since it uses less digits than its factorization.

1020057819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3019.

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 1020057819 is about 31938.3440240724. The cubic root of 1020057819 is about 1006.6417294355.

The spelling of 1020057819 in words is "one billion, twenty million, fifty-seven thousand, eight hundred nineteen".