6381944501257 has 8 divisors (see below), whose sum is σ = 6943717571336. Its totient is φ = 5830293468672.

The previous prime is 6381944501209. The next prime is 6381944501267. The reversal of 6381944501257 is 7521054491836.

It can be written as a sum of positive squares in 4 ways, for example, as 686543159241 + 5695401342016 = 828579^2 + 2386504^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 6381944501257 - 2²⁷ = 6381810283529 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6381944501198 and 6381944501207.

It is not an unprimeable number, because it can be changed into a prime (6381944501267) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2530508058 + ... + 2530510579.

It is an arithmetic number, because the mean of its divisors is an integer number (867964696417).

It is a 2-persistent number, because it is pandigital, and so is 2⋅6381944501257 = 12763889002514, but 3⋅6381944501257 = 19145833503771 is not.

Almost surely, 2^{6381944501257} is an apocalyptic number.

It is an amenable number.

6381944501257 is a deficient number, since it is larger than the sum of its proper divisors (561773070079).

6381944501257 is a wasteful number, since it uses less digits than its factorization.

6381944501257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5061018747.

The product of its (nonzero) digits is 7257600, while the sum is 55.

The spelling of 6381944501257 in words is "six trillion, three hundred eighty-one billion, nine hundred forty-four million, five hundred one thousand, two hundred fifty-seven".