97500000000001 has 2 divisors, whose sum is σ = 97500000000002. Its totient is φ = 97500000000000.

The previous prime is 97499999999989. The next prime is 97500000000107. The reversal of 97500000000001 is 10000000000579.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50336399884225 + 47163600115776 = 7094815^2 + 6867576^2 .

It is a cyclic number.

It is not a de Polignac number, because 97500000000001 - 2⁷ = 97499999999873 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 97499999999891 and 97499999999900.

It is not a weakly prime, because it can be changed into another prime (97500000000301) 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, 48750000000000 + 48750000000001.

It is an arithmetic number, because the mean of its divisors is an integer number (48750000000001).

Almost surely, 2^{97500000000001} is an apocalyptic number.

It is an amenable number.

97500000000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

97500000000001 is an equidigital number, since it uses as much as digits as its factorization.

97500000000001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 315, while the sum is 22.

The spelling of 97500000000001 in words is "ninety-seven trillion, five hundred billion, one", and thus it is an aban number.