95605258401 has 9 divisors (see below), whose sum is σ = 138097824241. Its totient is φ = 63736220532.

The previous prime is 95605258391. The next prime is 95605258403. The reversal of 95605258401 is 10485250659.

The square root of 95605258401 is 309201.

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

95605258401 is a `hidden beast` number, since 9 + 5 + 60 + 5 + 2 + 584 + 0 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 95605258401 - 2¹⁷ = 95605127329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (95605258403) 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, 876070 + ... + 979136.

Almost surely, 2^95605258401 is an apocalyptic number.

95605258401 is the 309201-st square number.

95605258401 is the 154601-st centered octagonal number.

It is an amenable number.

95605258401 is a deficient number, since it is larger than the sum of its proper divisors (42492565840).

95605258401 is an frugal number, since it uses more digits than its factorization.

95605258401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206140 (or 103070 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 95605258401 in words is "ninety-five billion, six hundred five million, two hundred fifty-eight thousand, four hundred one".