10772033017 has 16 divisors (see below), whose sum is σ = 11514182400. Its totient is φ = 10042329600.

The previous prime is 10772033009. The next prime is 10772033021. The reversal of 10772033017 is 71033027701.

It is a cyclic number.

It is not a de Polignac number, because 10772033017 - 2³ = 10772033009 is a prime.

It is a super-3 number, since 3×10772033017³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10772033017.

It is not an unprimeable number, because it can be changed into a prime (10772033057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 915709 + ... + 927397.

It is an arithmetic number, because the mean of its divisors is an integer number (719636400).

Almost surely, 2^10772033017 is an apocalyptic number.

10772033017 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10772033017 is a deficient number, since it is larger than the sum of its proper divisors (742149383).

10772033017 is a wasteful number, since it uses less digits than its factorization.

10772033017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12216.

The product of its (nonzero) digits is 6174, while the sum is 31.

The spelling of 10772033017 in words is "ten billion, seven hundred seventy-two million, thirty-three thousand, seventeen".