973508836141 has 2 divisors, whose sum is σ = 973508836142. Its totient is φ = 973508836140.

The previous prime is 973508836123. The next prime is 973508836159. The reversal of 973508836141 is 141638805379.

It is a balanced prime because it is at equal distance from previous prime (973508836123) and next prime (973508836159).

It can be written as a sum of positive squares in only one way, i.e., 492552716041 + 480956120100 = 701821^2 + 693510^2 .

It is an emirp because it is prime and its reverse (141638805379) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 973508836141 - 2³⁵ = 939149097773 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (973508836121) 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, 486754418070 + 486754418071.

It is an arithmetic number, because the mean of its divisors is an integer number (486754418071).

Almost surely, 2^973508836141 is an apocalyptic number.

It is an amenable number.

973508836141 is a deficient number, since it is larger than the sum of its proper divisors (1).

973508836141 is an equidigital number, since it uses as much as digits as its factorization.

973508836141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4354560, while the sum is 55.

The spelling of 973508836141 in words is "nine hundred seventy-three billion, five hundred eight million, eight hundred thirty-six thousand, one hundred forty-one".