253130 has 16 divisors (see below), whose sum is σ = 482760. Its totient is φ = 95232.

The previous prime is 253109. The next prime is 253133. The reversal of 253130 is 31352.

253130 = T₁₆₄ + T₁₆₅ + ... + T₁₈₀.

253130 is nontrivially palindromic in base 15.

253130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 201601 + 51529 = 449^2 + 227^2 .

It is not an unprimeable number, because it can be changed into a prime (253133) 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, 575 + ... + 914.

2²⁵³¹³⁰ is an apocalyptic number.

253130 is a deficient number, since it is larger than the sum of its proper divisors (229630).

253130 is a wasteful number, since it uses less digits than its factorization.

253130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513.

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 253130 is about 503.1202639529. The cubic root of 253130 is about 63.2578664048.

Subtracting from 253130 its sum of digits (14), we obtain a triangular number (253116 = T₇₁₁).

Adding to 253130 its reverse (31352), we get a palindrome (284482).

It can be divided in two parts, 253 and 130, that added together give a palindrome (383).

The spelling of 253130 in words is "two hundred fifty-three thousand, one hundred thirty".