120513525 has 24 divisors (see below), whose sum is σ = 217364064. Its totient is φ = 58430400.

The previous prime is 120513511. The next prime is 120513529. The reversal of 120513525 is 525315021.

It is a happy number.

It is not a de Polignac number, because 120513525 - 2⁹ = 120513013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120513495 and 120513504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120513529) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72214 + ... + 73863.

It is an arithmetic number, because the mean of its divisors is an integer number (9056836).

Almost surely, 2^120513525 is an apocalyptic number.

120513525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120513525 is a deficient number, since it is larger than the sum of its proper divisors (96850539).

120513525 is a wasteful number, since it uses less digits than its factorization.

120513525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146101 (or 146096 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 120513525 is about 10977.8652296337. The cubic root of 120513525 is about 493.9450033570.

Adding to 120513525 its reverse (525315021), we get a palindrome (645828546).

It can be divided in two parts, 12051 and 3525, that added together give a triangular number (15576 = T₁₇₆).

The spelling of 120513525 in words is "one hundred twenty million, five hundred thirteen thousand, five hundred twenty-five".