381527545725183 has 64 divisors (see below), whose sum is σ = 608924395860480. Its totient is φ = 209411109772800.

The previous prime is 381527545725121. The next prime is 381527545725203.

381527545725183 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 381527545725183 - 2⁹ = 381527545724671 is a prime.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381527545725383) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1764760588 + ... + 1764976766.

It is an arithmetic number, because the mean of its divisors is an integer number (9514443685320).

Almost surely, 2^{381527545725183} is an apocalyptic number.

381527545725183 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

381527545725183 is a deficient number, since it is larger than the sum of its proper divisors (227396850135297).

381527545725183 is a wasteful number, since it uses less digits than its factorization.

381527545725183 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293880.

The product of its digits is 282240000, while the sum is 66.

The spelling of 381527545725183 in words is "three hundred eighty-one trillion, five hundred twenty-seven billion, five hundred forty-five million, seven hundred twenty-five thousand, one hundred eighty-three".