5205461 has 2 divisors, whose sum is σ = 5205462. Its totient is φ = 5205460.

The previous prime is 5205437. The next prime is 5205463. The reversal of 5205461 is 1645025.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5202961 + 2500 = 2281^2 + 50^2 .

It is a cyclic number.

It is not a de Polignac number, because 5205461 - 2¹⁸ = 4943317 is a prime.

Together with 5205463, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5205463) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2602730 + 2602731.

It is an arithmetic number, because the mean of its divisors is an integer number (2602731).

Almost surely, 2^5205461 is an apocalyptic number.

It is an amenable number.

5205461 is a deficient number, since it is larger than the sum of its proper divisors (1).

5205461 is an equidigital number, since it uses as much as digits as its factorization.

5205461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 5205461 is about 2281.5479394481. The cubic root of 5205461 is about 173.3084476929.

The spelling of 5205461 in words is "five million, two hundred five thousand, four hundred sixty-one".