5205205777201 has 2 divisors, whose sum is σ = 5205205777202. Its totient is φ = 5205205777200.

The previous prime is 5205205777153. The next prime is 5205205777207. The reversal of 5205205777201 is 1027775025025.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3650755383025 + 1554450394176 = 1910695^2 + 1246776^2 .

It is a cyclic number.

It is not a de Polignac number, because 5205205777201 - 2²⁵ = 5205172222769 is a prime.

It is not a weakly prime, because it can be changed into another prime (5205205777207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2602602888600 + 2602602888601.

It is an arithmetic number, because the mean of its divisors is an integer number (2602602888601).

Almost surely, 2^{5205205777201} is an apocalyptic number.

It is an amenable number.

5205205777201 is a deficient number, since it is larger than the sum of its proper divisors (1).

5205205777201 is an equidigital number, since it uses as much as digits as its factorization.

5205205777201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 343000, while the sum is 43.

The spelling of 5205205777201 in words is "five trillion, two hundred five billion, two hundred five million, seven hundred seventy-seven thousand, two hundred one".