95852779201 has 9 divisors (see below), whose sum is σ = 97106242401. Its totient is φ = 94615304004.

The previous prime is 95852779129. The next prime is 95852779213. The reversal of 95852779201 is 10297725859.

It is a happy number.

The square root of 95852779201 is 309601.

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

It is not a de Polignac number, because 95852779201 - 2²¹ = 95850682049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (95852779241) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24456520 + ... + 24460438.

It is an arithmetic number, because the mean of its divisors is an integer number (10789582489).

Almost surely, 2^95852779201 is an apocalyptic number.

95852779201 is the 309601-st square number.

95852779201 is the 154801-st centered octagonal number.

It is an amenable number.

95852779201 is a deficient number, since it is larger than the sum of its proper divisors (1253463200).

95852779201 is an frugal number, since it uses more digits than its factorization.

95852779201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7996 (or 3998 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 55.

The spelling of 95852779201 in words is "ninety-five billion, eight hundred fifty-two million, seven hundred seventy-nine thousand, two hundred one".