95712134031337 has 2 divisors, whose sum is σ = 95712134031338. Its totient is φ = 95712134031336.

The previous prime is 95712134031313. The next prime is 95712134031413. The reversal of 95712134031337 is 73313043121759.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65052225726016 + 30659908305321 = 8065496^2 + 5537139^2 .

It is a cyclic number.

It is not a de Polignac number, because 95712134031337 - 2¹¹ = 95712134029289 is a prime.

It is not a weakly prime, because it can be changed into another prime (95712134031637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 47856067015668 + 47856067015669.

It is an arithmetic number, because the mean of its divisors is an integer number (47856067015669).

Almost surely, 2^{95712134031337} is an apocalyptic number.

It is an amenable number.

95712134031337 is a deficient number, since it is larger than the sum of its proper divisors (1).

95712134031337 is an equidigital number, since it uses as much as digits as its factorization.

95712134031337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1428840, while the sum is 49.

The spelling of 95712134031337 in words is "ninety-five trillion, seven hundred twelve billion, one hundred thirty-four million, thirty-one thousand, three hundred thirty-seven".