542056536 has 160 divisors (see below), whose sum is σ = 1759998240. Its totient is φ = 152658432.

The previous prime is 542056469. The next prime is 542056579. The reversal of 542056536 is 635650245.

It is a happy number.

542056536 is a `hidden beast` number, since 54 + 20 + 56 + 536 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 542056536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 330310 + ... + 331946.

It is an arithmetic number, because the mean of its divisors is an integer number (10999989).

Almost surely, 2^542056536 is an apocalyptic number.

542056536 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542056536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879999120).

542056536 is an abundant number, since it is smaller than the sum of its proper divisors (1217941704).

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

542056536 is a wasteful number, since it uses less digits than its factorization.

542056536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 542056536 is about 23282.1076365522. The cubic root of 542056536 is about 815.3577342308.

The spelling of 542056536 in words is "five hundred forty-two million, fifty-six thousand, five hundred thirty-six".