95957508321 has 24 divisors (see below), whose sum is σ = 146774089800. Its totient is φ = 60202254336.

The previous prime is 95957508319. The next prime is 95957508349. The reversal of 95957508321 is 12380575959.

95957508321 is a `hidden beast` number, since 9 + 59 + 57 + 508 + 32 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 59872706721 + 36084801600 = 244689^2 + 189960^2 .

It is not a de Polignac number, because 95957508321 - 2¹ = 95957508319 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (95957508421) 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 23 ways as a sum of consecutive naturals, for example, 1715605 + ... + 1770653.

It is an arithmetic number, because the mean of its divisors is an integer number (6115587075).

Almost surely, 2^95957508321 is an apocalyptic number.

It is an amenable number.

95957508321 is a deficient number, since it is larger than the sum of its proper divisors (50816581479).

95957508321 is a wasteful number, since it uses less digits than its factorization.

95957508321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66465 (or 66462 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 54.

The spelling of 95957508321 in words is "ninety-five billion, nine hundred fifty-seven million, five hundred eight thousand, three hundred twenty-one".