381252252183 has 32 divisors (see below), whose sum is σ = 556518458112. Its totient is φ = 230242003200.

The previous prime is 381252252109. The next prime is 381252252187.

381252252183 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 381252252183 - 2³⁰ = 380178510359 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381252252187) 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 in 31 ways as a sum of consecutive naturals, for example, 23334285 + ... + 23350617.

It is an arithmetic number, because the mean of its divisors is an integer number (17391201816).

Almost surely, 2^381252252183 is an apocalyptic number.

381252252183 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

381252252183 is a deficient number, since it is larger than the sum of its proper divisors (175266205929).

381252252183 is a wasteful number, since it uses less digits than its factorization.

381252252183 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18815.

The product of its digits is 230400, while the sum is 42.

The spelling of 381252252183 in words is "three hundred eighty-one billion, two hundred fifty-two million, two hundred fifty-two thousand, one hundred eighty-three".