273525 has 24 divisors (see below), whose sum is σ = 517824. Its totient is φ = 124800.

The previous prime is 273521. The next prime is 273527. The reversal of 273525 is 525372.

It is not a de Polignac number, because 273525 - 2² = 273521 is a prime.

It is a plaindrome in base 12.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 273495 and 273504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265 + ... + 785.

It is an arithmetic number, because the mean of its divisors is an integer number (21576).

2²⁷³⁵²⁵ is an apocalyptic number.

273525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

273525 is a deficient number, since it is larger than the sum of its proper divisors (244299).

273525 is a wasteful number, since it uses less digits than its factorization.

273525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 536 counting only the distinct ones).

The product of its digits is 2100, while the sum is 24.

The square root of 273525 is about 522.9961758942. The cubic root of 273525 is about 64.9130988603.

Adding to 273525 its product of digits (2100), we get a square (275625 = 525²).

Adding to 273525 its reverse (525372), we get a palindrome (798897).

The spelling of 273525 in words is "two hundred seventy-three thousand, five hundred twenty-five".