380332457521 has 9 divisors (see below), whose sum is σ = 382994688811. Its totient is φ = 377688617464.

The previous prime is 380332457513. The next prime is 380332457563. The reversal of 380332457521 is 125754233083.

The square root of 380332457521 is 616711.

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

It can be written as a sum of positive squares in only one way, i.e., 44558565921 + 335773891600 = 211089^2 + 579460^2 .

It is not a de Polignac number, because 380332457521 - 2³ = 380332457513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (380332497521) 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 8 ways as a sum of consecutive naturals, for example, 91887870 + ... + 91892008.

Almost surely, 2^380332457521 is an apocalyptic number.

380332457521 is the 616711-st square number.

380332457521 is the 308356-th centered octagonal number.

It is an amenable number.

380332457521 is a deficient number, since it is larger than the sum of its proper divisors (2662231290).

380332457521 is an frugal number, since it uses more digits than its factorization.

380332457521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8576 (or 4288 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 43.

The spelling of 380332457521 in words is "three hundred eighty billion, three hundred thirty-two million, four hundred fifty-seven thousand, five hundred twenty-one".