1000512 has 70 divisors (see below), whose sum is σ = 2981198. Its totient is φ = 331776.

The previous prime is 1000507. The next prime is 1000537. The reversal of 1000512 is 2150001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 746496 + 254016 = 864^2 + 504^2 .

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

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 1000494 and 1000503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5088 + ... + 5280.

2^1000512 is an apocalyptic number.

1000512 is a gapful number since it is divisible by the number (12) 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 1000512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490599).

1000512 is an abundant number, since it is smaller than the sum of its proper divisors (1980686).

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

1000512 is an equidigital number, since it uses as much as digits as its factorization.

1000512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 198 counting only the distinct ones).

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

The square root of 1000512 is about 1000.2559672404. The cubic root of 1000512 is about 100.0170637548.

Adding to 1000512 its reverse (2150001), we get a palindrome (3150513).

It can be divided in two parts, 1000 and 512, that multiplied together give a cube (512000 = 80³).

The spelling of 1000512 in words is "one million, five hundred twelve", and thus it is an aban number.