85558005009 has 9 divisors (see below), whose sum is σ = 123585052539. Its totient is φ = 57038085000.

The previous prime is 85558005007. The next prime is 85558005017. The reversal of 85558005009 is 90050085558.

The square root of 85558005009 is 292503.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 59488673409 + 26069331600 = 243903^2 + 161460^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 85558005009 - 2¹ = 85558005007 is a prime.

It is a super-2 number, since 2×85558005009² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85558005007) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 828759 + ... + 926259.

Almost surely, 2^85558005009 is an apocalyptic number.

85558005009 is the 292503-rd square number.

85558005009 is the 146252-nd centered octagonal number.

It is an amenable number.

85558005009 is a deficient number, since it is larger than the sum of its proper divisors (38027047530).

85558005009 is an frugal number, since it uses more digits than its factorization.

85558005009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195008 (or 97504 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 45.

The spelling of 85558005009 in words is "eighty-five billion, five hundred fifty-eight million, five thousand, nine".