97529351732993 has 2 divisors, whose sum is σ = 97529351732994. Its totient is φ = 97529351732992.

The previous prime is 97529351732929. The next prime is 97529351733019. The reversal of 97529351732993 is 39923715392579.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90141675524209 + 7387676208784 = 9494297^2 + 2718028^2 .

It is a cyclic number.

It is not a de Polignac number, because 97529351732993 - 2⁶ = 97529351732929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 97529351732993.

It is not a weakly prime, because it can be changed into another prime (97529351735993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48764675866496 + 48764675866497.

It is an arithmetic number, because the mean of its divisors is an integer number (48764675866497).

Almost surely, 2^{97529351732993} is an apocalyptic number.

It is an amenable number.

97529351732993 is a deficient number, since it is larger than the sum of its proper divisors (1).

97529351732993 is an equidigital number, since it uses as much as digits as its factorization.

97529351732993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 868020300, while the sum is 74.

The spelling of 97529351732993 in words is "ninety-seven trillion, five hundred twenty-nine billion, three hundred fifty-one million, seven hundred thirty-two thousand, nine hundred ninety-three".