131633125 has 40 divisors (see below), whose sum is σ = 187758648. Its totient is φ = 91392000.

The previous prime is 131633113. The next prime is 131633129. The reversal of 131633125 is 521336131.

It can be written as a sum of positive squares in 20 ways, for example, as 131583841 + 49284 = 11471^2 + 222^2 .

It is a de Polignac number, because none of the positive numbers 2^k-131633125 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131633125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131633129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 137649 + ... + 138601.

Almost surely, 2^131633125 is an apocalyptic number.

It is an amenable number.

131633125 is a deficient number, since it is larger than the sum of its proper divisors (56125523).

131633125 is an equidigital number, since it uses as much as digits as its factorization.

131633125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 988 counting only the distinct ones).

The product of its digits is 1620, while the sum is 25.

The square root of 131633125 is about 11473.1479986968. The cubic root of 131633125 is about 508.6921829388.

Adding to 131633125 its reverse (521336131), we get a palindrome (652969256).

The spelling of 131633125 in words is "one hundred thirty-one million, six hundred thirty-three thousand, one hundred twenty-five".