249525 has 18 divisors (see below), whose sum is σ = 447330. Its totient is φ = 132960.

The previous prime is 249521. The next prime is 249533. The reversal of 249525 is 525942.

It can be written as a sum of positive squares in 3 ways, for example, as 1521 + 248004 = 39^2 + 498^2 .

It is not a de Polignac number, because 249525 - 2² = 249521 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249521) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 330 + ... + 779.

2²⁴⁹⁵²⁵ is an apocalyptic number.

249525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

249525 is a deficient number, since it is larger than the sum of its proper divisors (197805).

249525 is a wasteful number, since it uses less digits than its factorization.

249525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1117 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 249525 is about 499.5247741604. The cubic root of 249525 is about 62.9561296997.

The spelling of 249525 in words is "two hundred forty-nine thousand, five hundred twenty-five".