523251 has 12 divisors (see below), whose sum is σ = 772512. Its totient is φ = 341136.

The previous prime is 523219. The next prime is 523261. The reversal of 523251 is 152325.

523251 = 23² + 24² + ... + 116².

It is a happy number.

It is not a de Polignac number, because 523251 - 2⁵ = 523219 is a prime.

It is not an unprimeable number, because it can be changed into a prime (523261) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 196 + ... + 1041.

It is an arithmetic number, because the mean of its divisors is an integer number (64376).

2⁵²³²⁵¹ is an apocalyptic number.

523251 is a deficient number, since it is larger than the sum of its proper divisors (249261).

523251 is a wasteful number, since it uses less digits than its factorization.

523251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1287 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 523251 is about 723.3609057725. The cubic root of 523251 is about 80.5817489313.

Adding to 523251 its reverse (152325), we get a palindrome (675576).

It can be divided in two parts, 52325 and 1, that added together give a triangular number (52326 = T₃₂₃).

The spelling of 523251 in words is "five hundred twenty-three thousand, two hundred fifty-one".