157525 has 6 divisors (see below), whose sum is σ = 195362. Its totient is φ = 126000.

The previous prime is 157523. The next prime is 157543. The reversal of 157525 is 525751.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 14641 + 142884 = 121^2 + 378^2 .

It is not a de Polignac number, because 157525 - 2¹ = 157523 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25), and also a Moran number because the ratio is a prime number: 6301 = 157525 / (1 + 5 + 7 + 5 + 2 + 5).

It is a Duffinian number.

157525 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 157525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157523) 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, 3126 + ... + 3175.

2¹⁵⁷⁵²⁵ is an apocalyptic number.

It is an amenable number.

157525 is a deficient number, since it is larger than the sum of its proper divisors (37837).

157525 is an equidigital number, since it uses as much as digits as its factorization.

157525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6311 (or 6306 counting only the distinct ones).

The product of its digits is 1750, while the sum is 25.

The square root of 157525 is about 396.8941924493. The cubic root of 157525 is about 54.0069721222.

It can be divided in two parts, 1575 and 25, that added together give a square (1600 = 40²).

The spelling of 157525 in words is "one hundred fifty-seven thousand, five hundred twenty-five".