1006512 has 40 divisors (see below), whose sum is σ = 2801904. Its totient is φ = 309504.

The previous prime is 1006507. The next prime is 1006513. The reversal of 1006512 is 2156001.

It is a super-2 number, since 2×1006512² = 2026132812288, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1006491 and 1006500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 183 + ... + 1430.

2^1006512 is an apocalyptic number.

1006512 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 1006512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400952).

1006512 is an abundant number, since it is smaller than the sum of its proper divisors (1795392).

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

1006512 is a wasteful number, since it uses less digits than its factorization.

1006512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1006512 is about 1003.2507164214. The cubic root of 1006512 is about 100.2165971845.

The spelling of 1006512 in words is "one million, six thousand, five hundred twelve".