540603525 has 144 divisors (see below), whose sum is σ = 1164354048. Its totient is φ = 218736000.

The previous prime is 540603499. The next prime is 540603527. The reversal of 540603525 is 525306045.

It is not a de Polignac number, because 540603525 - 2⁵ = 540603493 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 540603492 and 540603501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540603527) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1738120 + ... + 1738430.

It is an arithmetic number, because the mean of its divisors is an integer number (8085792).

Almost surely, 2^540603525 is an apocalyptic number.

540603525 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

540603525 is an abundant number, since it is smaller than the sum of its proper divisors (623750523).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

540603525 is a wasteful number, since it uses less digits than its factorization.

540603525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 540603525 is about 23250.8822413258. The cubic root of 540603525 is about 814.6285458967.

The spelling of 540603525 in words is "five hundred forty million, six hundred three thousand, five hundred twenty-five".