542115511245 has 48 divisors (see below), whose sum is σ = 1171532748672. Its totient is φ = 225294756480.

The previous prime is 542115511207. The next prime is 542115511261.

542115511245 is a `hidden beast` number, since 5 + 4 + 2 + 115 + 511 + 24 + 5 = 666.

542115511245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 542115511245 - 2⁷ = 542115511117 is a prime.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 78223882 + ... + 78230811.

It is an arithmetic number, because the mean of its divisors is an integer number (24406932264).

Almost surely, 2^542115511245 is an apocalyptic number.

542115511245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

542115511245 is an abundant number, since it is smaller than the sum of its proper divisors (629417237427).

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

542115511245 is a wasteful number, since it uses less digits than its factorization.

542115511245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156454722 (or 156454719 counting only the distinct ones).

The product of its digits is 40000, while the sum is 36.

The spelling of 542115511245 in words is "five hundred forty-two billion, one hundred fifteen million, five hundred eleven thousand, two hundred forty-five".