523261 has 2 divisors, whose sum is σ = 523262. Its totient is φ = 523260.

The previous prime is 523219. The next prime is 523297. The reversal of 523261 is 162325.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 367236 + 156025 = 606^2 + 395^2 .

It is a cyclic number.

It is not a de Polignac number, because 523261 - 2⁹ = 522749 is a prime.

It is a d-powerful number, because it can be written as 5⁴ + 2⁴ + 2¹⁶ + 3¹¹ + 6⁷ + 1 .

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (524261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 261630 + 261631.

It is an arithmetic number, because the mean of its divisors is an integer number (261631).

2⁵²³²⁶¹ is an apocalyptic number.

523261 is the 324-th centered decagonal number.

It is an amenable number.

523261 is a deficient number, since it is larger than the sum of its proper divisors (1).

523261 is an equidigital number, since it uses as much as digits as its factorization.

523261 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 360, while the sum is 19.

The square root of 523261 is about 723.3678179184. The cubic root of 523261 is about 80.5822622683.

Adding to 523261 its reverse (162325), we get a palindrome (685586).

It can be divided in two parts, 523 and 261, that multiplied together give a triangular number (136503 = T₅₂₂).

The spelling of 523261 in words is "five hundred twenty-three thousand, two hundred sixty-one".