1006704333337 has 32 divisors (see below), whose sum is σ = 1103162920704. Its totient is φ = 915121152000.

The previous prime is 1006704333317. The next prime is 1006704333379. The reversal of 1006704333337 is 7333334076001.

It is not a de Polignac number, because 1006704333337 - 2⁷ = 1006704333209 is a prime.

It is a super-2 number, since 2×1006704333337² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1006704333337.

It is not an unprimeable number, because it can be changed into a prime (1006704333317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11806537 + ... + 11891497.

It is an arithmetic number, because the mean of its divisors is an integer number (34473841272).

Almost surely, 2^{1006704333337} is an apocalyptic number.

1006704333337 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1006704333337 is a deficient number, since it is larger than the sum of its proper divisors (96458587367).

1006704333337 is a wasteful number, since it uses less digits than its factorization.

1006704333337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85249.

The product of its (nonzero) digits is 285768, while the sum is 40.

The spelling of 1006704333337 in words is "one trillion, six billion, seven hundred four million, three hundred thirty-three thousand, three hundred thirty-seven".