382351020481 has 2 divisors, whose sum is σ = 382351020482. Its totient is φ = 382351020480.

The previous prime is 382351020473. The next prime is 382351020487. The reversal of 382351020481 is 184020153283.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 358944774400 + 23406246081 = 599120^2 + 152991^2 .

It is a cyclic number.

It is not a de Polignac number, because 382351020481 - 2³ = 382351020473 is a prime.

It is a super-2 number, since 2×382351020481² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 382351020481.

It is not a weakly prime, because it can be changed into another prime (382351020487) 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 as a sum of consecutive naturals, namely, 191175510240 + 191175510241.

It is an arithmetic number, because the mean of its divisors is an integer number (191175510241).

Almost surely, 2^382351020481 is an apocalyptic number.

It is an amenable number.

382351020481 is a deficient number, since it is larger than the sum of its proper divisors (1).

382351020481 is an equidigital number, since it uses as much as digits as its factorization.

382351020481 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 382351020481 in words is "three hundred eighty-two billion, three hundred fifty-one million, twenty thousand, four hundred eighty-one".