125525 has 6 divisors (see below), whose sum is σ = 155682. Its totient is φ = 100400.

The previous prime is 125509. The next prime is 125527. The reversal of 125525 is 525521.

It can be written as a sum of positive squares in 3 ways, for example, as 27556 + 97969 = 166^2 + 313^2 .

It is not a de Polignac number, because 125525 - 2⁴ = 125509 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 125497 and 125506.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 125525.

It is not an unprimeable number, because it can be changed into a prime (125527) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2486 + ... + 2535.

It is an arithmetic number, because the mean of its divisors is an integer number (25947).

2¹²⁵⁵²⁵ is an apocalyptic number.

It is an amenable number.

125525 is a deficient number, since it is larger than the sum of its proper divisors (30157).

125525 is an equidigital number, since it uses as much as digits as its factorization.

125525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5031 (or 5026 counting only the distinct ones).

The product of its digits is 500, while the sum is 20.

The square root of 125525 is about 354.2950747611. The cubic root of 125525 is about 50.0699022280.

Adding to 125525 its product of digits (500), we get a square (126025 = 355²).

It can be divided in two parts, 1255 and 25, that multiplied together give a triangular number (31375 = T₂₅₀).

The spelling of 125525 in words is "one hundred twenty-five thousand, five hundred twenty-five".