208031314608001 has 2 divisors, whose sum is σ = 208031314608002. Its totient is φ = 208031314608000.

The previous prime is 208031314607929. The next prime is 208031314608043. The reversal of 208031314608001 is 100806413130802.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 204012087558400 + 4019227049601 = 14283280^2 + 2004801^2 .

It is a cyclic number.

It is not a de Polignac number, because 208031314608001 - 2¹¹ = 208031314605953 is a prime.

It is not a weakly prime, because it can be changed into another prime (208031314608301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 104015657304000 + 104015657304001.

It is an arithmetic number, because the mean of its divisors is an integer number (104015657304001).

Almost surely, 2^{208031314608001} is an apocalyptic number.

It is an amenable number.

208031314608001 is a deficient number, since it is larger than the sum of its proper divisors (1).

208031314608001 is an equidigital number, since it uses as much as digits as its factorization.

208031314608001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 37.

Adding to 208031314608001 its reverse (100806413130802), we get a palindrome (308837727738803).

The spelling of 208031314608001 in words is "two hundred eight trillion, thirty-one billion, three hundred fourteen million, six hundred eight thousand, one".