542561 has 8 divisors (see below), whose sum is σ = 573480. Its totient is φ = 512512.

The previous prime is 542557. The next prime is 542567. The reversal of 542561 is 165245.

It can be written as a sum of positive squares in 4 ways, for example, as 112225 + 430336 = 335^2 + 656^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 542561 - 2² = 542557 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (542567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1361 + ... + 1713.

It is an arithmetic number, because the mean of its divisors is an integer number (71685).

2⁵⁴²⁵⁶¹ is an apocalyptic number.

It is an amenable number.

542561 is a deficient number, since it is larger than the sum of its proper divisors (30919).

542561 is a wasteful number, since it uses less digits than its factorization.

542561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435.

The product of its digits is 1200, while the sum is 23.

The square root of 542561 is about 736.5874014671. The cubic root of 542561 is about 81.5610592906.

The spelling of 542561 in words is "five hundred forty-two thousand, five hundred sixty-one".