1050021000 has 288 divisors, whose sum is σ = 4130245080. Its totient is φ = 239904000.

The previous prime is 1050020989. The next prime is 1050021041. The reversal of 1050021000 is 1200501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 39162564 + 1010858436 = 6258^2 + 31794^2 .

It is a super-2 number, since 2×1050021000² = 2205088200882000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 71 ways as a sum of consecutive naturals, for example, 439810 + ... + 442190.

It is a vampire number, since it can be written as 21000 ⋅ 50001 (with its own digits).

Almost surely, 2^1050021000 is an apocalyptic number.

1050021000 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 1050021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2065122540).

1050021000 is an abundant number, since it is smaller than the sum of its proper divisors (3080224080).

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

1050021000 is a wasteful number, since it uses less digits than its factorization.

1050021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 1050021000 is about 32404.0275274541. The cubic root of 1050021000 is about 1016.4031327454.

Adding to 1050021000 its reverse (1200501), we get a palindrome (1051221501).

The spelling of 1050021000 in words is "one billion, fifty million, twenty-one thousand".