542657756245 has 24 divisors (see below), whose sum is σ = 757874201112. Its totient is φ = 371444874240.

The previous prime is 542657756239. The next prime is 542657756273.

It is a happy number.

542657756245 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 73051818961 + 469605937284 = 270281^2 + 685278^2 .

It is not a de Polignac number, because 542657756245 - 2⁵ = 542657756213 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 542657756245.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26370744 + ... + 26391313.

It is an arithmetic number, because the mean of its divisors is an integer number (31578091713).

Almost surely, 2^542657756245 is an apocalyptic number.

542657756245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

542657756245 is a deficient number, since it is larger than the sum of its proper divisors (215216444867).

542657756245 is a wasteful number, since it uses less digits than its factorization.

542657756245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52762101 (or 52762090 counting only the distinct ones).

The product of its digits is 70560000, while the sum is 58.

The spelling of 542657756245 in words is "five hundred forty-two billion, six hundred fifty-seven million, seven hundred fifty-six thousand, two hundred forty-five".