42031951993 has 2 divisors, whose sum is σ = 42031951994. Its totient is φ = 42031951992.

The previous prime is 42031951991. The next prime is 42031952003. The reversal of 42031951993 is 39915913024.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40718396944 + 1313555049 = 201788^2 + 36243^2 .

It is a cyclic number.

It is not a de Polignac number, because 42031951993 - 2¹ = 42031951991 is a prime.

Together with 42031951991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (42031951991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21015975996 + 21015975997.

It is an arithmetic number, because the mean of its divisors is an integer number (21015975997).

Almost surely, 2^42031951993 is an apocalyptic number.

It is an amenable number.

42031951993 is a deficient number, since it is larger than the sum of its proper divisors (1).

42031951993 is an equidigital number, since it uses as much as digits as its factorization.

42031951993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 262440, while the sum is 46.

The spelling of 42031951993 in words is "forty-two billion, thirty-one million, nine hundred fifty-one thousand, nine hundred ninety-three".