1680511795201 has 2 divisors, whose sum is σ = 1680511795202. Its totient is φ = 1680511795200.

The previous prime is 1680511795163. The next prime is 1680511795211. The reversal of 1680511795201 is 1025971150861.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1383787559025 + 296724236176 = 1176345^2 + 544724^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1680511795201 is a prime.

It is not a weakly prime, because it can be changed into another prime (1680511795211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 840255897600 + 840255897601.

It is an arithmetic number, because the mean of its divisors is an integer number (840255897601).

Almost surely, 2^{1680511795201} is an apocalyptic number.

It is an amenable number.

1680511795201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1680511795201 is an equidigital number, since it uses as much as digits as its factorization.

1680511795201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 151200, while the sum is 46.

The spelling of 1680511795201 in words is "one trillion, six hundred eighty billion, five hundred eleven million, seven hundred ninety-five thousand, two hundred one".