85008158009 has 2 divisors, whose sum is σ = 85008158010. Its totient is φ = 85008158008.

The previous prime is 85008157973. The next prime is 85008158023. The reversal of 85008158009 is 90085180058.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68960335609 + 16047822400 = 262603^2 + 126680^2 .

It is a cyclic number.

It is not a de Polignac number, because 85008158009 - 2¹⁶ = 85008092473 is a prime.

It is a super-2 number, since 2×85008158009² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (85008118009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42504079004 + 42504079005.

It is an arithmetic number, because the mean of its divisors is an integer number (42504079005).

Almost surely, 2^85008158009 is an apocalyptic number.

It is an amenable number.

85008158009 is a deficient number, since it is larger than the sum of its proper divisors (1).

85008158009 is an equidigital number, since it uses as much as digits as its factorization.

85008158009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 115200, while the sum is 44.

The spelling of 85008158009 in words is "eighty-five billion, eight million, one hundred fifty-eight thousand, nine".