1006686513 has 24 divisors (see below), whose sum is σ = 1671134400. Its totient is φ = 572029344.

The previous prime is 1006686503. The next prime is 1006686523. The reversal of 1006686513 is 3156866001.

It is a happy number.

1006686513 is a `hidden beast` number, since 1 + 0 + 0 + 66 + 86 + 513 = 666.

It is an interprime number because it is at equal distance from previous prime (1006686503) and next prime (1006686523).

It is not a de Polignac number, because 1006686513 - 2⁸ = 1006686257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1006686503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33358 + ... + 55911.

It is an arithmetic number, because the mean of its divisors is an integer number (69630600).

Almost surely, 2^1006686513 is an apocalyptic number.

It is an amenable number.

1006686513 is a deficient number, since it is larger than the sum of its proper divisors (664447887).

1006686513 is a wasteful number, since it uses less digits than its factorization.

1006686513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89461 (or 89458 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1006686513 is about 31728.3235138575. The cubic root of 1006686513 is about 1002.2238883212.

The spelling of 1006686513 in words is "one billion, six million, six hundred eighty-six thousand, five hundred thirteen".