540513125 has 20 divisors (see below), whose sum is σ = 676892700. Its totient is φ = 431472000.

The previous prime is 540513119. The next prime is 540513137. The reversal of 540513125 is 521315045.

It can be written as a sum of positive squares in 10 ways, for example, as 315453121 + 225060004 = 17761^2 + 15002^2 .

It is not a de Polignac number, because 540513125 - 2¹⁰ = 540512101 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 540513094 and 540513103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 505091 + ... + 506159.

It is an arithmetic number, because the mean of its divisors is an integer number (33844635).

Almost surely, 2^540513125 is an apocalyptic number.

It is an amenable number.

540513125 is a deficient number, since it is larger than the sum of its proper divisors (136379575).

540513125 is an equidigital number, since it uses as much as digits as its factorization.

540513125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898 (or 1883 counting only the distinct ones).

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

The square root of 540513125 is about 23248.9381477951. The cubic root of 540513125 is about 814.5831358304.

The spelling of 540513125 in words is "five hundred forty million, five hundred thirteen thousand, one hundred twenty-five".