95066772241 has 27 divisors (see below), whose sum is σ = 117521061627. Its totient is φ = 76662922560.

The previous prime is 95066772221. The next prime is 95066772257. The reversal of 95066772241 is 14227766059.

It is a happy number.

The square root of 95066772241 is 308329.

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., 74013923025 + 21052849216 = 272055^2 + 145096^2 .

It is not a de Polignac number, because 95066772241 - 2⁵ = 95066772209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (95066772221) 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 26 ways as a sum of consecutive naturals, for example, 36689856 + ... + 36692446.

Almost surely, 2^95066772241 is an apocalyptic number.

95066772241 is the 308329-th square number.

95066772241 is the 154165-th centered octagonal number.

It is an amenable number.

95066772241 is a deficient number, since it is larger than the sum of its proper divisors (22454289386).

95066772241 is an frugal number, since it uses more digits than its factorization.

95066772241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5230 (or 2615 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

Multiplying 95066772241 by its sum of digits (49), we get a square (4658271839809 = 2158303²).

95066772241 divided by its sum of digits (49) gives a square (1940138209 = 44047²).

The spelling of 95066772241 in words is "ninety-five billion, sixty-six million, seven hundred seventy-two thousand, two hundred forty-one".