42560125126201 has 2 divisors, whose sum is σ = 42560125126202. Its totient is φ = 42560125126200.

The previous prime is 42560125126037. The next prime is 42560125126213. The reversal of 42560125126201 is 10262152106524.

42560125126201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42358814973225 + 201310152976 = 6508365^2 + 448676^2 .

It is a cyclic number.

It is not a de Polignac number, because 42560125126201 - 2¹⁵ = 42560125093433 is a prime.

It is a super-2 number, since 2×42560125126201² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (42560125126501) 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 as a sum of consecutive naturals, namely, 21280062563100 + 21280062563101.

It is an arithmetic number, because the mean of its divisors is an integer number (21280062563101).

Almost surely, 2^{42560125126201} is an apocalyptic number.

It is an amenable number.

42560125126201 is a deficient number, since it is larger than the sum of its proper divisors (1).

42560125126201 is an equidigital number, since it uses as much as digits as its factorization.

42560125126201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 42560125126201 in words is "forty-two trillion, five hundred sixty billion, one hundred twenty-five million, one hundred twenty-six thousand, two hundred one".