120095525 has 54 divisors (see below), whose sum is σ = 174031830. Its totient is φ = 82051200.

The previous prime is 120095513. The next prime is 120095527. The reversal of 120095525 is 525590021.

It can be written as a sum of positive squares in 9 ways, for example, as 543169 + 119552356 = 737^2 + 10934^2 .

It is not a de Polignac number, because 120095525 - 2⁶ = 120095461 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120095527) 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 53 ways as a sum of consecutive naturals, for example, 3245807 + ... + 3245843.

Almost surely, 2^120095525 is an apocalyptic number.

It is an amenable number.

120095525 is a deficient number, since it is larger than the sum of its proper divisors (53936305).

120095525 is a wasteful number, since it uses less digits than its factorization.

120095525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The square root of 120095525 is about 10958.8103825187. The cubic root of 120095525 is about 493.3732606573.

Multiplying 120095525 by its sum of digits (29), we get a square (3482770225 = 59015²).

120095525 divided by its sum of digits (29) gives a square (4141225 = 2035²).

The spelling of 120095525 in words is "one hundred twenty million, ninety-five thousand, five hundred twenty-five".