201584261 has 2 divisors, whose sum is σ = 201584262. Its totient is φ = 201584260.

The previous prime is 201584237. The next prime is 201584263. The reversal of 201584261 is 162485102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 132112036 + 69472225 = 11494^2 + 8335^2 .

It is a cyclic number.

It is not a de Polignac number, because 201584261 - 2¹⁸ = 201322117 is a prime.

It is a super-2 number, since 2×201584261² = 81272428565832242, which contains 22 as substring.

Together with 201584263, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201584263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100792130 + 100792131.

It is an arithmetic number, because the mean of its divisors is an integer number (100792131).

Almost surely, 2^201584261 is an apocalyptic number.

It is an amenable number.

201584261 is a deficient number, since it is larger than the sum of its proper divisors (1).

201584261 is an equidigital number, since it uses as much as digits as its factorization.

201584261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 201584261 is about 14198.0372235038. The cubic root of 201584261 is about 586.3436240562.

The spelling of 201584261 in words is "two hundred one million, five hundred eighty-four thousand, two hundred sixty-one".