195761117601 has 63 divisors (see below), whose sum is σ = 341572895523. Its totient is φ = 111815711280.

The previous prime is 195761117561. The next prime is 195761117641. The reversal of 195761117601 is 106711167591.

The square root of 195761117601 is 442449.

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

195761117601 is a `hidden beast` number, since 1 + 9 + 576 + 1 + 1 + 1 + 76 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (195761117561) and next prime (195761117641).

It can be written as a sum of positive squares in only one way, i.e., 127734045201 + 68027072400 = 357399^2 + 260820^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 195761117601 - 2¹¹ = 195761115553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (195761117641) 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 62 ways as a sum of consecutive naturals, for example, 83621691 + ... + 83624031.

Almost surely, 2^195761117601 is an apocalyptic number.

195761117601 is the 442449-th square number.

195761117601 is the 221225-th centered octagonal number.

It is an amenable number.

195761117601 is a deficient number, since it is larger than the sum of its proper divisors (145811777922).

195761117601 is an frugal number, since it uses more digits than its factorization.

195761117601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4714 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 45.

The spelling of 195761117601 in words is "one hundred ninety-five billion, seven hundred sixty-one million, one hundred seventeen thousand, six hundred one".