382543487001 has 27 divisors (see below), whose sum is σ = 598374979839. Its totient is φ = 235396532592.

The previous prime is 382543486981. The next prime is 382543487107. The reversal of 382543487001 is 100784345283.

The square root of 382543487001 is 618501.

It is a perfect power (a square), and thus also a powerful number.

382543487001 is a `hidden beast` number, since 38 + 2 + 543 + 4 + 8 + 70 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 56589273225 + 325954213776 = 237885^2 + 570924^2 .

It is not a de Polignac number, because 382543487001 - 2¹⁹ = 382542962713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (382543487201) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24113610 + ... + 24129468.

Almost surely, 2^382543487001 is an apocalyptic number.

382543487001 is the 618501-st square number.

382543487001 is the 309251-st centered octagonal number.

It is an amenable number.

382543487001 is a deficient number, since it is larger than the sum of its proper divisors (215831492838).

382543487001 is an frugal number, since it uses more digits than its factorization.

382543487001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31750 (or 15875 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 382543487001 in words is "three hundred eighty-two billion, five hundred forty-three million, four hundred eighty-seven thousand, one".