42635575105517 has 2 divisors, whose sum is σ = 42635575105518. Its totient is φ = 42635575105516.

The previous prime is 42635575105477. The next prime is 42635575105537. The reversal of 42635575105517 is 71550157553624.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39153790775401 + 3481784330116 = 6257299^2 + 1865954^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-42635575105517 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42635575105537) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21317787552758 + 21317787552759.

It is an arithmetic number, because the mean of its divisors is an integer number (21317787552759).

Almost surely, 2^{42635575105517} is an apocalyptic number.

It is an amenable number.

42635575105517 is a deficient number, since it is larger than the sum of its proper divisors (1).

42635575105517 is an equidigital number, since it uses as much as digits as its factorization.

42635575105517 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 22050000, while the sum is 56.

The spelling of 42635575105517 in words is "forty-two trillion, six hundred thirty-five billion, five hundred seventy-five million, one hundred five thousand, five hundred seventeen".