542365242561 has 24 divisors (see below), whose sum is σ = 794505352680. Its totient is φ = 356463334656.

The previous prime is 542365242533. The next prime is 542365242589. The reversal of 542365242561 is 165242563245.

542365242561 is a `hidden beast` number, since 5 + 4 + 2 + 3 + 65 + 24 + 2 + 561 = 666.

It is an interprime number because it is at equal distance from previous prime (542365242533) and next prime (542365242589).

It can be written as a sum of positive squares in 4 ways, for example, as 203459634225 + 338905608336 = 451065^2 + 582156^2 .

It is not a de Polignac number, because 542365242561 - 2¹⁴ = 542365226177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (542365242361) 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, 1285195 + ... + 1654223.

It is an arithmetic number, because the mean of its divisors is an integer number (33104389695).

Almost surely, 2^542365242561 is an apocalyptic number.

It is an amenable number.

542365242561 is a deficient number, since it is larger than the sum of its proper divisors (252140110119).

542365242561 is a wasteful number, since it uses less digits than its factorization.

542365242561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371345 (or 371342 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

The spelling of 542365242561 in words is "five hundred forty-two billion, three hundred sixty-five million, two hundred forty-two thousand, five hundred sixty-one".