120513825 has 30 divisors (see below), whose sum is σ = 223237014. Its totient is φ = 64272960.

The previous prime is 120513823. The next prime is 120513829. The reversal of 120513825 is 528315021.

It is a happy number.

120513825 is a `hidden beast` number, since 120 + 513 + 8 + 25 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2313441 + 118200384 = 1521^2 + 10872^2 .

It is not a de Polignac number, because 120513825 - 2¹ = 120513823 is a prime.

It is a super-2 number, since 2×120513825² = 29047164032261250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (120513823) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 27732 + ... + 31781.

Almost surely, 2^120513825 is an apocalyptic number.

120513825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120513825 is a deficient number, since it is larger than the sum of its proper divisors (102723189).

120513825 is an equidigital number, since it uses as much as digits as its factorization.

120513825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59535 (or 59521 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 120513825 is about 10977.8788934839. The cubic root of 120513825 is about 493.9454132235.

Adding to 120513825 its reverse (528315021), we get a palindrome (648828846).

It can be divided in two parts, 12051 and 3825, that added together give a square (15876 = 126²).

The spelling of 120513825 in words is "one hundred twenty million, five hundred thirteen thousand, eight hundred twenty-five".