5205538361 has 2 divisors, whose sum is σ = 5205538362. Its totient is φ = 5205538360.

The previous prime is 5205538339. The next prime is 5205538381. The reversal of 5205538361 is 1638355025.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5132862736 + 72675625 = 71644^2 + 8525^2 .

It is a cyclic number.

It is not a de Polignac number, because 5205538361 - 2¹⁴ = 5205521977 is a prime.

It is not a weakly prime, because it can be changed into another prime (5205538381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2602769180 + 2602769181.

It is an arithmetic number, because the mean of its divisors is an integer number (2602769181).

Almost surely, 2^5205538361 is an apocalyptic number.

It is an amenable number.

5205538361 is a deficient number, since it is larger than the sum of its proper divisors (1).

5205538361 is an equidigital number, since it uses as much as digits as its factorization.

5205538361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108000, while the sum is 38.

The square root of 5205538361 is about 72149.4169137908. The cubic root of 5205538361 is about 1733.0930623030.

The spelling of 5205538361 in words is "five billion, two hundred five million, five hundred thirty-eight thousand, three hundred sixty-one".