95749649780625 has 45 divisors (see below), whose sum is σ = 172827314745943. Its totient is φ = 51066088476000.

The previous prime is 95749649780623. The next prime is 95749649780683. The reversal of 95749649780625 is 52608794694759.

It is a happy number.

The square root of 95749649780625 is 9785175.

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

95749649780625 is a `hidden beast` number, since 9 + 5 + 7 + 49 + 6 + 497 + 80 + 6 + 2 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 69533734238721 + 26215915541904 = 8338689^2 + 5120148^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 95749649780625 - 2¹ = 95749649780623 is a prime.

It is a super-2 number, since 2×95749649780625² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (95749649780623) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 733822891 + ... + 733953359.

Almost surely, 2^{95749649780625} is an apocalyptic number.

95749649780625 is the 9785175-th square number.

95749649780625 is the 4892588-th centered octagonal number.

It is an amenable number.

95749649780625 is a deficient number, since it is larger than the sum of its proper divisors (77077664965318).

95749649780625 is an frugal number, since it uses more digits than its factorization.

95749649780625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260964 (or 130477 counting only the distinct ones).

The product of its (nonzero) digits is 8230118400, while the sum is 81.

The spelling of 95749649780625 in words is "ninety-five trillion, seven hundred forty-nine billion, six hundred forty-nine million, seven hundred eighty thousand, six hundred twenty-five".