1006511312 has 10 divisors (see below), whose sum is σ = 1950115698. Its totient is φ = 503255648.

The previous prime is 1006511309. The next prime is 1006511351. The reversal of 1006511312 is 2131156001.

It can be written as a sum of positive squares in only one way, i.e., 735711376 + 270799936 = 27124^2 + 16456^2 .

It is a super-2 number, since 2×1006511312² = 2026130042367922688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 31453463 + ... + 31453494.

Almost surely, 2^1006511312 is an apocalyptic number.

It is an amenable number.

1006511312 is a deficient number, since it is larger than the sum of its proper divisors (943604386).

1006511312 is an equidigital number, since it uses as much as digits as its factorization.

1006511312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62906965 (or 62906959 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 1006511312 is about 31725.5624378828. The cubic root of 1006511312 is about 1002.1657435023.

Adding to 1006511312 its reverse (2131156001), we get a palindrome (3137667313).

The spelling of 1006511312 in words is "one billion, six million, five hundred eleven thousand, three hundred twelve".