9501375625 has 45 divisors (see below), whose sum is σ = 13836195219. Its totient is φ = 6503532000.

The previous prime is 9501375623. The next prime is 9501375691. The reversal of 9501375625 is 5265731059.

The square root of 9501375625 is 97475.

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

9501375625 is digitally balanced in base 2, 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 7 ways, for example, as 9498646521 + 2729104 = 97461^2 + 1652^2 .

It is not a de Polignac number, because 9501375625 - 2¹ = 9501375623 is a prime.

It is a super-2 number, since 2×9501375625² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9501375623) 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 44 ways as a sum of consecutive naturals, for example, 17057847 + ... + 17058403.

Almost surely, 2^9501375625 is an apocalyptic number.

9501375625 is the 97475-th square number.

9501375625 is the 48738-th centered octagonal number.

It is an amenable number.

9501375625 is a deficient number, since it is larger than the sum of its proper divisors (4334819594).

9501375625 is an frugal number, since it uses more digits than its factorization.

9501375625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 43.

The cubic root of 9501375625 is about 2118.0140135939.

The spelling of 9501375625 in words is "nine billion, five hundred one million, three hundred seventy-five thousand, six hundred twenty-five".