42533631561101 has 2 divisors, whose sum is σ = 42533631561102. Its totient is φ = 42533631561100.

The previous prime is 42533631561067. The next prime is 42533631561121. The reversal of 42533631561101 is 10116513633524.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41932229760100 + 601401801001 = 6475510^2 + 775501^2 .

It is a cyclic number.

It is not a de Polignac number, because 42533631561101 - 2²⁶ = 42533564452237 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42533631561121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21266815780550 + 21266815780551.

It is an arithmetic number, because the mean of its divisors is an integer number (21266815780551).

Almost surely, 2^{42533631561101} is an apocalyptic number.

It is an amenable number.

42533631561101 is a deficient number, since it is larger than the sum of its proper divisors (1).

42533631561101 is an equidigital number, since it uses as much as digits as its factorization.

42533631561101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 194400, while the sum is 41.

The spelling of 42533631561101 in words is "forty-two trillion, five hundred thirty-three billion, six hundred thirty-one million, five hundred sixty-one thousand, one hundred one".