75211417009 has 9 divisors (see below), whose sum is σ = 75794815083. Its totient is φ = 74632481592.

The previous prime is 75211416977. The next prime is 75211417013. The reversal of 75211417009 is 90071411257.

The square root of 75211417009 is 274247.

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., 16176024225 + 59035392784 = 127185^2 + 242972^2 .

It is not a de Polignac number, because 75211417009 - 2⁵ = 75211416977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75211417069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 38119347 + ... + 38121319.

Almost surely, 2^75211417009 is an apocalyptic number.

75211417009 is the 274247-th square number.

75211417009 is the 137124-th centered octagonal number.

It is an amenable number.

75211417009 is a deficient number, since it is larger than the sum of its proper divisors (583398074).

75211417009 is an frugal number, since it uses more digits than its factorization.

75211417009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4224 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 37.

The spelling of 75211417009 in words is "seventy-five billion, two hundred eleven million, four hundred seventeen thousand, nine".