540519552 has 192 divisors, whose sum is σ = 1623024000. Its totient is φ = 172541952.

The previous prime is 540519547. The next prime is 540519563. The reversal of 540519552 is 255915045.

540519552 is a `hidden beast` number, since 54 + 0 + 51 + 9 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×540519552² = 584322772188561408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3627574 + ... + 3627722.

It is an arithmetic number, because the mean of its divisors is an integer number (8453250).

Almost surely, 2^540519552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540519552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811512000).

540519552 is an abundant number, since it is smaller than the sum of its proper divisors (1082504448).

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

540519552 is a wasteful number, since it uses less digits than its factorization.

540519552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The square root of 540519552 is about 23249.0763687507. The cubic root of 540519552 is about 814.5863644322.

The spelling of 540519552 in words is "five hundred forty million, five hundred nineteen thousand, five hundred fifty-two".