153525 has 24 divisors (see below), whose sum is σ = 267840. Its totient is φ = 77440.

The previous prime is 153523. The next prime is 153529. The reversal of 153525 is 525351.

153525 = 29² + 30² + ... + 78².

153525 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 153525 - 2¹ = 153523 is a prime.

Its product of digits (750) is a multiple of the sum of its prime factors (125).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1681 + ... + 1769.

It is an arithmetic number, because the mean of its divisors is an integer number (11160).

2¹⁵³⁵²⁵ is an apocalyptic number.

153525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

153525 is a deficient number, since it is larger than the sum of its proper divisors (114315).

153525 is a wasteful number, since it uses less digits than its factorization.

153525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 120 counting only the distinct ones).

The product of its digits is 750, while the sum is 21.

The square root of 153525 is about 391.8226639693. The cubic root of 153525 is about 53.5459180126.

Adding to 153525 its reverse (525351), we get a palindrome (678876).

The spelling of 153525 in words is "one hundred fifty-three thousand, five hundred twenty-five".