9752945049 has 15 divisors (see below), whose sum is σ = 14570542063. Its totient is φ = 6501370824.

The previous prime is 9752945039. The next prime is 9752945057. The reversal of 9752945049 is 9405492579.

The square root of 9752945049 is 98757.

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

9752945049 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5493033225 + 4259911824 = 74115^2 + 65268^2 .

It is not a de Polignac number, because 9752945049 - 2¹⁷ = 9752813977 is a prime.

It is a super-2 number, since 2×9752945049² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9752944986 and 9752945004.

It is not an unprimeable number, because it can be changed into a prime (9752945009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 883327 + ... + 894299.

Almost surely, 2^9752945049 is an apocalyptic number.

9752945049 is the 98757-th square number.

9752945049 is the 49379-th centered octagonal number.

It is an amenable number.

9752945049 is a deficient number, since it is larger than the sum of its proper divisors (4817597014).

9752945049 is an frugal number, since it uses more digits than its factorization.

9752945049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21958 (or 10976 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The cubic root of 9752945049 is about 2136.5444164463.

The spelling of 9752945049 in words is "nine billion, seven hundred fifty-two million, nine hundred forty-five thousand, forty-nine".