9752155009 has 27 divisors (see below), whose sum is σ = 10715358843. Its totient is φ = 8873549568.

The previous prime is 9752155001. The next prime is 9752155019. The reversal of 9752155009 is 9005512579.

It is a happy number.

The square root of 9752155009 is 98753.

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

It can be written as a sum of positive squares in 13 ways, for example, as 588305025 + 9163849984 = 24255^2 + 95728^2 .

It is not a de Polignac number, because 9752155009 - 2³ = 9752155001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9752155001) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 62115559 + ... + 62115715.

Almost surely, 2^9752155009 is an apocalyptic number.

9752155009 is the 98753-rd square number.

9752155009 is the 49377-th centered octagonal number.

It is an amenable number.

9752155009 is a deficient number, since it is larger than the sum of its proper divisors (963203834).

9752155009 is an equidigital number, since it uses as much as digits as its factorization.

9752155009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 141750, while the sum is 43.

The cubic root of 9752155009 is about 2136.4867244322.

The spelling of 9752155009 in words is "nine billion, seven hundred fifty-two million, one hundred fifty-five thousand, nine".