542576520 has 96 divisors (see below), whose sum is σ = 1770064920. Its totient is φ = 144138240.

The previous prime is 542576491. The next prime is 542576527. The reversal of 542576520 is 25675245.

542576520 is a `hidden beast` number, since 542 + 57 + 65 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 406667556 + 135908964 = 20166^2 + 11658^2 .

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

It is not an unprimeable number, because it can be changed into a prime (542576527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97000 + ... + 102440.

Almost surely, 2^542576520 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 542576520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885032460).

542576520 is an abundant number, since it is smaller than the sum of its proper divisors (1227488400).

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

542576520 is a wasteful number, since it uses less digits than its factorization.

542576520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5735 (or 5728 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 542576520 is about 23293.2719899975. The cubic root of 542576520 is about 815.6183696999.

The spelling of 542576520 in words is "five hundred forty-two million, five hundred seventy-six thousand, five hundred twenty".