1006733507 has 16 divisors (see below), whose sum is σ = 1095447360. Its totient is φ = 925157376.

The previous prime is 1006733503. The next prime is 1006733551. The reversal of 1006733507 is 7053376001.

It is not a de Polignac number, because 1006733507 - 2² = 1006733503 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1006733503) 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 15 ways as a sum of consecutive naturals, for example, 563738 + ... + 565520.

It is an arithmetic number, because the mean of its divisors is an integer number (68465460).

Almost surely, 2^1006733507 is an apocalyptic number.

1006733507 is a deficient number, since it is larger than the sum of its proper divisors (88713853).

1006733507 is an equidigital number, since it uses as much as digits as its factorization.

1006733507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 32.

The square root of 1006733507 is about 31729.0640738109. The cubic root of 1006733507 is about 1002.2394833040.

The spelling of 1006733507 in words is "one billion, six million, seven hundred thirty-three thousand, five hundred seven".