42010602425261 has 2 divisors, whose sum is σ = 42010602425262. Its totient is φ = 42010602425260.

The previous prime is 42010602425257. The next prime is 42010602425263. The reversal of 42010602425261 is 16252420601024.

42010602425261 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., 34097599669225 + 7913002756036 = 5839315^2 + 2813006^2 .

It is a cyclic number.

It is not a de Polignac number, because 42010602425261 - 2² = 42010602425257 is a prime.

It is a super-2 number, since 2×42010602425261² (a number of 28 digits) contains 22 as substring.

Together with 42010602425263, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42010602425263) 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, 21005301212630 + 21005301212631.

It is an arithmetic number, because the mean of its divisors is an integer number (21005301212631).

Almost surely, 2^{42010602425261} is an apocalyptic number.

It is an amenable number.

42010602425261 is a deficient number, since it is larger than the sum of its proper divisors (1).

42010602425261 is an equidigital number, since it uses as much as digits as its factorization.

42010602425261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 42010602425261 in words is "forty-two trillion, ten billion, six hundred two million, four hundred twenty-five thousand, two hundred sixty-one".