542583385245 has 64 divisors (see below), whose sum is σ = 1088568633600. Its totient is φ = 253999307520.

The previous prime is 542583385231. The next prime is 542583385277.

542583385245 is a `hidden beast` number, since 5 + 4 + 2 + 5 + 83 + 38 + 524 + 5 = 666.

542583385245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 542583385245 - 2⁷ = 542583385117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 542583385191 and 542583385200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6256522 + ... + 6342651.

It is an arithmetic number, because the mean of its divisors is an integer number (17008884900).

Almost surely, 2^542583385245 is an apocalyptic number.

542583385245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

542583385245 is an abundant number, since it is smaller than the sum of its proper divisors (545985248355).

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

542583385245 is a wasteful number, since it uses less digits than its factorization.

542583385245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12599227 (or 12599221 counting only the distinct ones).

The product of its digits is 23040000, while the sum is 54.

The spelling of 542583385245 in words is "five hundred forty-two billion, five hundred eighty-three million, three hundred eighty-five thousand, two hundred forty-five".