181525 has 12 divisors (see below), whose sum is σ = 231012. Its totient is φ = 141440.

The previous prime is 181523. The next prime is 181537. The reversal of 181525 is 525181.

181525 = 34² + 35² + ... + 83².

It can be written as a sum of positive squares in 6 ways, for example, as 49 + 181476 = 7^2 + 426^2 .

It is not a de Polignac number, because 181525 - 2¹ = 181523 is a prime.

It is a Duffinian number.

181525 is a Rhonda number in base 8.

Its product of digits (400) is a multiple of the sum of its prime factors (200).

It is a junction number, because it is equal to n+sod(n) for n = 181496 and 181505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181523) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1257 + ... + 1393.

It is an arithmetic number, because the mean of its divisors is an integer number (19251).

2¹⁸¹⁵²⁵ is an apocalyptic number.

It is an amenable number.

181525 is a deficient number, since it is larger than the sum of its proper divisors (49487).

181525 is a wasteful number, since it uses less digits than its factorization.

181525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 195 counting only the distinct ones).

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

The square root of 181525 is about 426.0575078555. The cubic root of 181525 is about 56.6211668596.

Subtracting from 181525 its sum of digits (22), we obtain a triangular number (181503 = T₆₀₂).

The spelling of 181525 in words is "one hundred eighty-one thousand, five hundred twenty-five".