381017952013 has 2 divisors, whose sum is σ = 381017952014. Its totient is φ = 381017952012.

The previous prime is 381017951983. The next prime is 381017952043. The reversal of 381017952013 is 310259710183.

It is a balanced prime because it is at equal distance from previous prime (381017951983) and next prime (381017952043).

It can be written as a sum of positive squares in only one way, i.e., 247345086244 + 133672865769 = 497338^2 + 365613^2 .

It is a cyclic number.

It is not a de Polignac number, because 381017952013 - 2⁵ = 381017951981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (381017952043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 190508976006 + 190508976007.

It is an arithmetic number, because the mean of its divisors is an integer number (190508976007).

Almost surely, 2^381017952013 is an apocalyptic number.

It is an amenable number.

381017952013 is a deficient number, since it is larger than the sum of its proper divisors (1).

381017952013 is an equidigital number, since it uses as much as digits as its factorization.

381017952013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45360, while the sum is 40.

The spelling of 381017952013 in words is "three hundred eighty-one billion, seventeen million, nine hundred fifty-two thousand, thirteen".