253006 has 16 divisors (see below), whose sum is σ = 421344. Its totient is φ = 113184.

The previous prime is 253003. The next prime is 253013. The reversal of 253006 is 600352.

253006 = 64² + 65² + ... + 100².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 831 + ... + 1093.

It is an arithmetic number, because the mean of its divisors is an integer number (26334).

2²⁵³⁰⁰⁶ is an apocalyptic number.

253006 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

253006 is a deficient number, since it is larger than the sum of its proper divisors (168338).

253006 is a wasteful number, since it uses less digits than its factorization.

253006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315.

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 253006 is about 502.9970178838. The cubic root of 253006 is about 63.2475354068.

Adding to 253006 its reverse (600352), we get a palindrome (853358).

The spelling of 253006 in words is "two hundred fifty-three thousand, six".