395294404492593 has 12 divisors (see below), whose sum is σ = 571055728620468. Its totient is φ = 263495023549920.

The previous prime is 395294404492567. The next prime is 395294404492619.

It is a happy number.

395294404492593 is a `hidden beast` number, since 3 + 9 + 5 + 2 + 9 + 4 + 40 + 4 + 492 + 5 + 93 = 666.

395294404492593 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (395294404492567) and next prime (395294404492619).

It can be written as a sum of positive squares in 2 ways, for example, as 371256093752049 + 24038310740544 = 19268007^2 + 4902888^2 .

It is not a de Polignac number, because 395294404492593 - 2⁶ = 395294404492529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (395294404492093) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2881548030 + ... + 2881685207.

It is an arithmetic number, because the mean of its divisors is an integer number (47587977385039).

Almost surely, 2^{395294404492593} is an apocalyptic number.

It is an amenable number.

395294404492593 is a deficient number, since it is larger than the sum of its proper divisors (175761324127875).

395294404492593 is a wasteful number, since it uses less digits than its factorization.

395294404492593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5763240864 (or 5763240861 counting only the distinct ones).

The product of its (nonzero) digits is 1511654400, while the sum is 72.

The spelling of 395294404492593 in words is "three hundred ninety-five trillion, two hundred ninety-four billion, four hundred four million, four hundred ninety-two thousand, five hundred ninety-three".