395900105133 has 16 divisors (see below), whose sum is σ = 569421014400. Its totient is φ = 243224090304.

The previous prime is 395900105119. The next prime is 395900105147. The reversal of 395900105133 is 331501009593.

It is an interprime number because it is at equal distance from previous prime (395900105119) and next prime (395900105147).

It is not a de Polignac number, because 395900105133 - 2²⁵ = 395866550701 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 395900105091 and 395900105100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395900105333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8450166 + ... + 8496887.

It is an arithmetic number, because the mean of its divisors is an integer number (35588813400).

Almost surely, 2^395900105133 is an apocalyptic number.

It is an amenable number.

395900105133 is a deficient number, since it is larger than the sum of its proper divisors (173520909267).

395900105133 is a wasteful number, since it uses less digits than its factorization.

395900105133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16947668.

The product of its (nonzero) digits is 54675, while the sum is 39.

The spelling of 395900105133 in words is "three hundred ninety-five billion, nine hundred million, one hundred five thousand, one hundred thirty-three".