16906452782013 has 6 divisors (see below), whose sum is σ = 24420431796254. Its totient is φ = 11270968521336.

The previous prime is 16906452782003. The next prime is 16906452782017. The reversal of 16906452782013 is 31028725460961.

It is a happy number.

16906452782013 is a `hidden beast` number, since 1 + 6 + 90 + 6 + 4 + 527 + 8 + 20 + 1 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12434065282809 + 4472387499204 = 3526197^2 + 2114802^2 .

It is not a de Polignac number, because 16906452782013 - 2³⁰ = 16905379040189 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16906452782017) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 939247376770 + ... + 939247376787.

It is a 1-persistent number, because it is pandigital, but 2⋅16906452782013 = 33812905564026 is not.

Almost surely, 2^{16906452782013} is an apocalyptic number.

It is an amenable number.

16906452782013 is a deficient number, since it is larger than the sum of its proper divisors (7513979014241).

16906452782013 is a wasteful number, since it uses less digits than its factorization.

16906452782013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878494753563 (or 1878494753560 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 16906452782013 in words is "sixteen trillion, nine hundred six billion, four hundred fifty-two million, seven hundred eighty-two thousand, thirteen".