95313595441 has 27 divisors (see below), whose sum is σ = 103193969067. Its totient is φ = 88024812480.

The previous prime is 95313595417. The next prime is 95313595457. The reversal of 95313595441 is 14459531359.

The square root of 95313595441 is 308729.

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

It can be written as a sum of positive squares in only one way, i.e., 10688458225 + 84625137216 = 103385^2 + 290904^2 .

It is not a de Polignac number, because 95313595441 - 2¹¹ = 95313593393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (95313595841) 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 26 ways as a sum of consecutive naturals, for example, 220123561 + ... + 220123993.

Almost surely, 2^95313595441 is an apocalyptic number.

95313595441 is the 308729-th square number.

95313595441 is the 154365-th centered octagonal number.

It is an amenable number.

95313595441 is a deficient number, since it is larger than the sum of its proper divisors (7880373626).

95313595441 is an frugal number, since it uses more digits than its factorization.

95313595441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 487 counting only the distinct ones).

The product of its digits is 1458000, while the sum is 49.

Multiplying 95313595441 by its sum of digits (49), we get a square (4670366176609 = 2161103²).

It can be divided in two parts, 953135 and 95441, that added together give a 20-th power (1048576 = 2²⁰).

The spelling of 95313595441 in words is "ninety-five billion, three hundred thirteen million, five hundred ninety-five thousand, four hundred forty-one".