382182135951 has 32 divisors (see below), whose sum is σ = 650811280896. Its totient is φ = 193693824000.

The previous prime is 382182135913. The next prime is 382182135991. The reversal of 382182135951 is 159531281283.

It is not a de Polignac number, because 382182135951 - 2¹³ = 382182127759 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 382182135951.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382182135991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20166970 + ... + 20185911.

It is an arithmetic number, because the mean of its divisors is an integer number (20337852528).

Almost surely, 2^382182135951 is an apocalyptic number.

382182135951 is a deficient number, since it is larger than the sum of its proper divisors (268629144945).

382182135951 is a wasteful number, since it uses less digits than its factorization.

382182135951 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40352943.

The product of its digits is 518400, while the sum is 48.

The spelling of 382182135951 in words is "three hundred eighty-two billion, one hundred eighty-two million, one hundred thirty-five thousand, nine hundred fifty-one".