20035047455201 has 2 divisors, whose sum is σ = 20035047455202. Its totient is φ = 20035047455200.

The previous prime is 20035047455191. The next prime is 20035047455209. The reversal of 20035047455201 is 10255474053002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15189220102225 + 4845827352976 = 3897335^2 + 2201324^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20035047455201 is a prime.

It is a super-3 number, since 3×20035047455201³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (20035047455209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10017523727600 + 10017523727601.

It is an arithmetic number, because the mean of its divisors is an integer number (10017523727601).

Almost surely, 2^{20035047455201} is an apocalyptic number.

It is an amenable number.

20035047455201 is a deficient number, since it is larger than the sum of its proper divisors (1).

20035047455201 is an equidigital number, since it uses as much as digits as its factorization.

20035047455201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168000, while the sum is 38.

The spelling of 20035047455201 in words is "twenty trillion, thirty-five billion, forty-seven million, four hundred fifty-five thousand, two hundred one".