262523201 has 2 divisors, whose sum is σ = 262523202. Its totient is φ = 262523200.

The previous prime is 262523189. The next prime is 262523203. The reversal of 262523201 is 102325262.

262523201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 262407601 + 115600 = 16199^2 + 340^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-262523201 is a prime.

Together with 262523203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (262523203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 131261600 + 131261601.

It is an arithmetic number, because the mean of its divisors is an integer number (131261601).

Almost surely, 2^262523201 is an apocalyptic number.

It is an amenable number.

262523201 is a deficient number, since it is larger than the sum of its proper divisors (1).

262523201 is an equidigital number, since it uses as much as digits as its factorization.

262523201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 262523201 is about 16202.5677286040. The cubic root of 262523201 is about 640.3084458854.

Adding to 262523201 its reverse (102325262), we get a palindrome (364848463).

The spelling of 262523201 in words is "two hundred sixty-two million, five hundred twenty-three thousand, two hundred one".