125511 has 16 divisors (see below), whose sum is σ = 186624. Its totient is φ = 74624.

The previous prime is 125509. The next prime is 125527. The reversal of 125511 is 115521.

It is a cyclic number.

It is not a de Polignac number, because 125511 - 2¹ = 125509 is a prime.

It is a super-2 number, since 2×125511² = 31506022242, which contains 22 as substring.

125511 is a lucky number.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125551) 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, 1120 + ... + 1226.

It is an arithmetic number, because the mean of its divisors is an integer number (11664).

2¹²⁵⁵¹¹ is an apocalyptic number.

125511 is a deficient number, since it is larger than the sum of its proper divisors (61113).

125511 is a wasteful number, since it uses less digits than its factorization.

125511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150.

The product of its digits is 50, while the sum is 15.

The square root of 125511 is about 354.2753166677. The cubic root of 125511 is about 50.0680407006.

It can be divided in two parts, 125 and 511, that added together give a palindrome (636).

The spelling of 125511 in words is "one hundred twenty-five thousand, five hundred eleven".