125851 has 8 divisors (see below), whose sum is σ = 145584. Its totient is φ = 107520.

The previous prime is 125821. The next prime is 125863. The reversal of 125851 is 158521.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 125851 - 2⁹ = 125339 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (125821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150 + ... + 523.

It is an arithmetic number, because the mean of its divisors is an integer number (18198).

2¹²⁵⁸⁵¹ is an apocalyptic number.

125851 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

125851 is a deficient number, since it is larger than the sum of its proper divisors (19733).

125851 is a wasteful number, since it uses less digits than its factorization.

125851 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701.

The product of its digits is 400, while the sum is 22.

The square root of 125851 is about 354.7548449282. The cubic root of 125851 is about 50.1132101425.

It can be divided in two parts, 1 and 25851, that added together give a palindrome (25852).

The spelling of 125851 in words is "one hundred twenty-five thousand, eight hundred fifty-one".