95049506601 has 81 divisors (see below), whose sum is σ = 163369041381. Its totient is φ = 53096831424.

The previous prime is 95049506567. The next prime is 95049506639. The reversal of 95049506601 is 10660594059.

It is a happy number.

The square root of 95049506601 is 308301.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1560329001 + 93489177600 = 39501^2 + 305760^2 .

It is not a de Polignac number, because 95049506601 - 2²⁹ = 94512635689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (95049506401) 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, 343138875 + ... + 343139151.

Almost surely, 2^95049506601 is an apocalyptic number.

95049506601 is the 308301-st square number.

95049506601 is the 154151-st centered octagonal number.

It is an amenable number.

95049506601 is a deficient number, since it is larger than the sum of its proper divisors (68319534780).

95049506601 is an equidigital number, since it uses as much as digits as its factorization.

95049506601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 95049506601 in words is "ninety-five billion, forty-nine million, five hundred six thousand, six hundred one".