542301261561 has 24 divisors (see below), whose sum is σ = 804585862080. Its totient is φ = 351723236256.

The previous prime is 542301261503. The next prime is 542301261571. The reversal of 542301261561 is 165162103245.

542301261561 is a `hidden beast` number, since 5 + 4 + 2 + 30 + 1 + 2 + 61 + 561 = 666.

It is not a de Polignac number, because 542301261561 - 2¹⁰ = 542301260537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (542301261571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3017220 + ... + 3191898.

It is an arithmetic number, because the mean of its divisors is an integer number (33524410920).

Almost surely, 2^542301261561 is an apocalyptic number.

It is an amenable number.

542301261561 is a deficient number, since it is larger than the sum of its proper divisors (262284600519).

542301261561 is a wasteful number, since it uses less digits than its factorization.

542301261561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184045 (or 184042 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

It can be divided in two parts, 542 and 301261561, that added together give a palindrome (301262103).

The spelling of 542301261561 in words is "five hundred forty-two billion, three hundred one million, two hundred sixty-one thousand, five hundred sixty-one".