131106625 has 16 divisors (see below), whose sum is σ = 176209488. Its totient is φ = 96816000.

The previous prime is 131106589. The next prime is 131106667. The reversal of 131106625 is 526601131.

131106625 = 8096² + 8097².

It can be written as a sum of positive squares in 8 ways, for example, as 22363441 + 108743184 = 4729^2 + 10428^2 .

It is not a de Polignac number, because 131106625 - 2¹⁵ = 131073857 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 131106625.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38716 + ... + 41965.

It is an arithmetic number, because the mean of its divisors is an integer number (11013093).

Almost surely, 2^131106625 is an apocalyptic number.

131106625 is the 8097-th centered square number.

It is an amenable number.

131106625 is a deficient number, since it is larger than the sum of its proper divisors (45102863).

131106625 is an equidigital number, since it uses as much as digits as its factorization.

131106625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80709 (or 80699 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 131106625 is about 11450.1801295875. The cubic root of 131106625 is about 508.0130623152.

Adding to 131106625 its reverse (526601131), we get a palindrome (657707756).

The spelling of 131106625 in words is "one hundred thirty-one million, one hundred six thousand, six hundred twenty-five".