172106256342001 has 2 divisors, whose sum is σ = 172106256342002. Its totient is φ = 172106256342000.

The previous prime is 172106256341947. The next prime is 172106256342017. The reversal of 172106256342001 is 100243652601271.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102686281963776 + 69419974378225 = 10133424^2 + 8331865^2 .

It is a cyclic number.

It is not a de Polignac number, because 172106256342001 - 2⁹ = 172106256341489 is a prime.

It is not a weakly prime, because it can be changed into another prime (172106256340001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 86053128171000 + 86053128171001.

It is an arithmetic number, because the mean of its divisors is an integer number (86053128171001).

Almost surely, 2^{172106256342001} is an apocalyptic number.

It is an amenable number.

172106256342001 is a deficient number, since it is larger than the sum of its proper divisors (1).

172106256342001 is an equidigital number, since it uses as much as digits as its factorization.

172106256342001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 172106256342001 in words is "one hundred seventy-two trillion, one hundred six billion, two hundred fifty-six million, three hundred forty-two thousand, one".