1020557000 has 32 divisors (see below), whose sum is σ = 2388105720. Its totient is φ = 408222400.

The previous prime is 1020556987. The next prime is 1020557011. The reversal of 1020557000 is 7550201.

It can be written as a sum of positive squares in 4 ways, for example, as 484264036 + 536292964 = 22006^2 + 23158^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 509279 + ... + 511278.

Almost surely, 2^1020557000 is an apocalyptic number.

1020557000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020557000 is an abundant number, since it is smaller than the sum of its proper divisors (1367548720).

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

1020557000 is a wasteful number, since it uses less digits than its factorization.

1020557000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020578 (or 1020564 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 20.

The square root of 1020557000 is about 31946.1578284463. The cubic root of 1020557000 is about 1006.8059078674.

The spelling of 1020557000 in words is "one billion, twenty million, five hundred fifty-seven thousand".