96253201009 has 81 divisors (see below), whose sum is σ = 122579211531. Its totient is φ = 75352791360.

The previous prime is 96253201003. The next prime is 96253201027. The reversal of 96253201009 is 90010235269.

The square root of 96253201009 is 310247.

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., 4638018609 + 91615182400 = 68103^2 + 302680^2 .

It is not a de Polignac number, because 96253201009 - 2³ = 96253201001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (96253201001) 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 80 ways as a sum of consecutive naturals, for example, 2047940424 + ... + 2047940470.

Almost surely, 2^96253201009 is an apocalyptic number.

96253201009 is the 310247-th square number.

96253201009 is the 155124-th centered octagonal number.

It is an amenable number.

96253201009 is a deficient number, since it is larger than the sum of its proper divisors (26326010522).

96253201009 is an equidigital number, since it uses as much as digits as its factorization.

96253201009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The spelling of 96253201009 in words is "ninety-six billion, two hundred fifty-three million, two hundred one thousand, nine".