540311525 has 24 divisors (see below), whose sum is σ = 722740200. Its totient is φ = 398327040.

The previous prime is 540311509. The next prime is 540311537. The reversal of 540311525 is 525113045.

540311525 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 298011169 + 242300356 = 17263^2 + 15566^2 .

It is not a de Polignac number, because 540311525 - 2⁴ = 540311509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 540311494 and 540311503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276251 + ... + 278199.

It is an arithmetic number, because the mean of its divisors is an integer number (30114175).

Almost surely, 2^540311525 is an apocalyptic number.

It is an amenable number.

540311525 is a deficient number, since it is larger than the sum of its proper divisors (182428675).

540311525 is a wasteful number, since it uses less digits than its factorization.

540311525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2825 (or 2820 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The square root of 540311525 is about 23244.6020615540. The cubic root of 540311525 is about 814.4818491248.

The spelling of 540311525 in words is "five hundred forty million, three hundred eleven thousand, five hundred twenty-five".