42059310649225 has 9 divisors (see below), whose sum is σ = 52153585414023. Its totient is φ = 33647422578120.

The previous prime is 42059310649217. The next prime is 42059310649241. The reversal of 42059310649225 is 52294601395024.

It is a happy number.

The square root of 42059310649225 is 6485315.

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., 15141351833721 + 26917958815504 = 3891189^2 + 5188252^2 .

It is not a de Polignac number, because 42059310649225 - 2³ = 42059310649217 is a prime.

It is a super-2 number, since 2×42059310649225² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 31778044 + ... + 33075106.

Almost surely, 2^{42059310649225} is an apocalyptic number.

42059310649225 is the 6485315-th square number.

42059310649225 is the 3242658-th centered octagonal number.

It is an amenable number.

42059310649225 is a deficient number, since it is larger than the sum of its proper divisors (10094274764798).

42059310649225 is an frugal number, since it uses more digits than its factorization.

42059310649225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594136 (or 1297068 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 52.

The spelling of 42059310649225 in words is "forty-two trillion, fifty-nine billion, three hundred ten million, six hundred forty-nine thousand, two hundred twenty-five".