16972968505001 has 8 divisors (see below), whose sum is σ = 17059806234504. Its totient is φ = 16886137649920.

The previous prime is 16972968504937. The next prime is 16972968505007. The reversal of 16972968505001 is 10050586927961.

It can be written as a sum of positive squares in 4 ways, for example, as 6319768627225 + 10653199877776 = 2513915^2 + 3263924^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 16972968505001 - 2⁶ = 16972968504937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16972968505007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3268961 + ... + 6680721.

It is an arithmetic number, because the mean of its divisors is an integer number (2132475779313).

Almost surely, 2^{16972968505001} is an apocalyptic number.

It is an amenable number.

16972968505001 is a deficient number, since it is larger than the sum of its proper divisors (86837729503).

16972968505001 is a wasteful number, since it uses less digits than its factorization.

16972968505001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3437211.

The product of its (nonzero) digits is 8164800, while the sum is 59.

The spelling of 16972968505001 in words is "sixteen trillion, nine hundred seventy-two billion, nine hundred sixty-eight million, five hundred five thousand, one".