125853 has 16 divisors (see below), whose sum is σ = 206976. Its totient is φ = 66240.

The previous prime is 125821. The next prime is 125863. The reversal of 125853 is 358521.

It is not a de Polignac number, because 125853 - 2⁵ = 125821 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125803) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43 + ... + 503.

It is an arithmetic number, because the mean of its divisors is an integer number (12936).

2¹²⁵⁸⁵³ is an apocalyptic number.

125853 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

125853 is a deficient number, since it is larger than the sum of its proper divisors (81123).

125853 is a wasteful number, since it uses less digits than its factorization.

125853 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484.

The product of its digits is 1200, while the sum is 24.

The square root of 125853 is about 354.7576637650. The cubic root of 125853 is about 50.1134756043.

The spelling of 125853 in words is "one hundred twenty-five thousand, eight hundred fifty-three".