42735004273 has 16 divisors (see below), whose sum is σ = 47660492880. Its totient is φ = 38046468096.

The previous prime is 42735004237. The next prime is 42735004309. The reversal of 42735004273 is 37240053724.

It is an interprime number because it is at equal distance from previous prime (42735004237) and next prime (42735004309).

It can be written as a sum of positive squares in 8 ways, for example, as 12628590129 + 30106414144 = 112377^2 + 173512^2 .

It is not a de Polignac number, because 42735004273 - 2²⁹ = 42198133361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42735004673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292761 + ... + 413737.

It is an arithmetic number, because the mean of its divisors is an integer number (2978780805).

Almost surely, 2^42735004273 is an apocalyptic number.

It is an amenable number.

42735004273 is a deficient number, since it is larger than the sum of its proper divisors (4925488607).

42735004273 is a wasteful number, since it uses less digits than its factorization.

42735004273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121956.

The product of its (nonzero) digits is 141120, while the sum is 37.

Adding to 42735004273 its reverse (37240053724), we get a palindrome (79975057997).

The spelling of 42735004273 in words is "forty-two billion, seven hundred thirty-five million, four thousand, two hundred seventy-three".