95005128792809 has 2 divisors, whose sum is σ = 95005128792810. Its totient is φ = 95005128792808.

The previous prime is 95005128792773. The next prime is 95005128792817. The reversal of 95005128792809 is 90829782150059.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71294043216400 + 23711085576409 = 8443580^2 + 4869403^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-95005128792809 is a prime.

It is a super-2 number, since 2×95005128792809² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (95005128792709) 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, 47502564396404 + 47502564396405.

It is an arithmetic number, because the mean of its divisors is an integer number (47502564396405).

Almost surely, 2^{95005128792809} is an apocalyptic number.

It is an amenable number.

95005128792809 is a deficient number, since it is larger than the sum of its proper divisors (1).

95005128792809 is an equidigital number, since it uses as much as digits as its factorization.

95005128792809 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32659200, while the sum is 65.

The spelling of 95005128792809 in words is "ninety-five trillion, five billion, one hundred twenty-eight million, seven hundred ninety-two thousand, eight hundred nine".