1057050000 has 420 divisors, whose sum is σ = 3970409940. Its totient is φ = 272160000.

The previous prime is 1057049993. The next prime is 1057050013. The reversal of 1057050000 is 507501.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 862949376 + 194100624 = 29376^2 + 13932^2 .

It is a super-2 number, since 2×1057050000² = 2234709405000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 83 ways as a sum of consecutive naturals, for example, 36449986 + ... + 36450014.

It is an arithmetic number, because the mean of its divisors is an integer number (9453357).

Almost surely, 2^1057050000 is an apocalyptic number.

1057050000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985204970).

1057050000 is an abundant number, since it is smaller than the sum of its proper divisors (2913359940).

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

1057050000 is an frugal number, since it uses more digits than its factorization.

1057050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The square root of 1057050000 is about 32512.3053627392. The cubic root of 1057050000 is about 1018.6660763667. Note that the first 3 decimals are identical.

Adding to 1057050000 its reverse (507501), we get a palindrome (1057557501).

The spelling of 1057050000 in words is "one billion, fifty-seven million, fifty thousand".