131825265 has 96 divisors (see below), whose sum is σ = 258117888. Its totient is φ = 57024000.

The previous prime is 131825263. The next prime is 131825269. The reversal of 131825265 is 562528131.

It is not a de Polignac number, because 131825265 - 2¹ = 131825263 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131825263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 872940 + ... + 873090.

It is an arithmetic number, because the mean of its divisors is an integer number (2688728).

Almost surely, 2^131825265 is an apocalyptic number.

131825265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131825265 is a deficient number, since it is larger than the sum of its proper divisors (126292623).

131825265 is a wasteful number, since it uses less digits than its factorization.

131825265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 220 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

The square root of 131825265 is about 11481.5184100362. The cubic root of 131825265 is about 508.9395689942.

The spelling of 131825265 in words is "one hundred thirty-one million, eight hundred twenty-five thousand, two hundred sixty-five".