42534525121 has 9 divisors (see below), whose sum is σ = 46755318883. Its totient is φ = 38665687720.

The previous prime is 42534525091. The next prime is 42534525191. The reversal of 42534525121 is 12152543524.

It is a happy number.

The square root of 42534525121 is 206239.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 27410444721 + 15124080400 = 165561^2 + 122980^2 .

It is not a de Polignac number, because 42534525121 - 2³¹ = 40387041473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42534525191) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2259255 + ... + 2278003.

Almost surely, 2^42534525121 is an apocalyptic number.

42534525121 is the 206239-th square number.

42534525121 is the 103120-th centered octagonal number.

It is an amenable number.

42534525121 is a deficient number, since it is larger than the sum of its proper divisors (4220793762).

42534525121 is an frugal number, since it uses more digits than its factorization.

42534525121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37520 (or 18760 counting only the distinct ones).

The product of its digits is 48000, while the sum is 34.

The spelling of 42534525121 in words is "forty-two billion, five hundred thirty-four million, five hundred twenty-five thousand, one hundred twenty-one".