540825318 has 192 divisors, whose sum is σ = 1436258304. Its totient is φ = 145152000.

The previous prime is 540825281. The next prime is 540825323. The reversal of 540825318 is 813528045.

It is a happy number.

540825318 is a `hidden beast` number, since 5 + 40 + 82 + 531 + 8 = 666.

It is a super-2 number, since 2×540825318² = 584984049179602248, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7408530 + ... + 7408602.

It is an arithmetic number, because the mean of its divisors is an integer number (7480512).

Almost surely, 2^540825318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540825318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718129152).

540825318 is an abundant number, since it is smaller than the sum of its proper divisors (895432986).

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

540825318 is a wasteful number, since it uses less digits than its factorization.

540825318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 540825318 is about 23255.6513131755. The cubic root of 540825318 is about 814.7399363442.

The spelling of 540825318 in words is "five hundred forty million, eight hundred twenty-five thousand, three hundred eighteen".