42531621933953 has 2 divisors, whose sum is σ = 42531621933954. Its totient is φ = 42531621933952.

The previous prime is 42531621933949. The next prime is 42531621934007. The reversal of 42531621933953 is 35933912613524.

It is a happy number.

42531621933953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24956938558864 + 17574683375089 = 4995692^2 + 4192217^2 .

It is a cyclic number.

It is not a de Polignac number, because 42531621933953 - 2² = 42531621933949 is a prime.

It is not a weakly prime, because it can be changed into another prime (42531621933253) 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, 21265810966976 + 21265810966977.

It is an arithmetic number, because the mean of its divisors is an integer number (21265810966977).

Almost surely, 2^{42531621933953} is an apocalyptic number.

It is an amenable number.

42531621933953 is a deficient number, since it is larger than the sum of its proper divisors (1).

42531621933953 is an equidigital number, since it uses as much as digits as its factorization.

42531621933953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15746400, while the sum is 56.

The spelling of 42531621933953 in words is "forty-two trillion, five hundred thirty-one billion, six hundred twenty-one million, nine hundred thirty-three thousand, nine hundred fifty-three".