42761175875209 has 49 divisors (see below), whose sum is σ = 49977121617739. Its totient is φ = 36587102353120.

The previous prime is 42761175875207. The next prime is 42761175875227. The reversal of 42761175875209 is 90257857116724.

It is a happy number.

The square root of 42761175875209 is 6539203.

The cubic root of 42761175875209 is 34969.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

42761175875209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 434076734025 + 42327099141184 = 658845^2 + 6505928^2 .

It is not a de Polignac number, because 42761175875209 - 2¹ = 42761175875207 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42761175875207) 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 48 ways as a sum of consecutive naturals, for example, 2515363286769 + ... + 2515363286785.

Almost surely, 2^{42761175875209} is an apocalyptic number.

42761175875209 is the 6539203-rd square number.

42761175875209 is the 3269602-nd centered octagonal number.

It is an amenable number.

42761175875209 is a deficient number, since it is larger than the sum of its proper divisors (7215945742530).

42761175875209 is an frugal number, since it uses more digits than its factorization.

42761175875209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 64.

The spelling of 42761175875209 in words is "forty-two trillion, seven hundred sixty-one billion, one hundred seventy-five million, eight hundred seventy-five thousand, two hundred nine".