95819345209 has 9 divisors (see below), whose sum is σ = 111465840591. Its totient is φ = 82129010040.

The previous prime is 95819345203. The next prime is 95819345249. The reversal of 95819345209 is 90254391859.

The square root of 95819345209 is 309547.

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., 94773469609 + 1045875600 = 307853^2 + 32340^2 .

It is not a de Polignac number, because 95819345209 - 2⁵ = 95819345177 is a prime.

It is a super-2 number, since 2×95819345209² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 95819345209.

It is not an unprimeable number, because it can be changed into a prime (95819345203) 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, 2144719 + ... + 2188939.

It is an arithmetic number, because the mean of its divisors is an integer number (12385093399).

Almost surely, 2^95819345209 is an apocalyptic number.

95819345209 is the 309547-th square number.

95819345209 is the 154774-th centered octagonal number.

It is an amenable number.

95819345209 is a deficient number, since it is larger than the sum of its proper divisors (15646495382).

95819345209 is an frugal number, since it uses more digits than its factorization.

95819345209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88456 (or 44228 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 55.

The spelling of 95819345209 in words is "ninety-five billion, eight hundred nineteen million, three hundred forty-five thousand, two hundred nine".