382456721525 has 12 divisors (see below), whose sum is σ = 474401361444. Its totient is φ = 305865360000.

The previous prime is 382456721501. The next prime is 382456721539. The reversal of 382456721525 is 525127654283.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 43506867889 + 338949853636 = 208583^2 + 582194^2 .

It is not a de Polignac number, because 382456721525 - 2¹⁶ = 382456655989 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2422376 + ... + 2575425.

It is an arithmetic number, because the mean of its divisors is an integer number (39533446787).

Almost surely, 2^382456721525 is an apocalyptic number.

It is an amenable number.

382456721525 is a deficient number, since it is larger than the sum of its proper divisors (91944639919).

382456721525 is a wasteful number, since it uses less digits than its factorization.

382456721525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5000872 (or 5000867 counting only the distinct ones).

The product of its digits is 4032000, while the sum is 50.

The spelling of 382456721525 in words is "three hundred eighty-two billion, four hundred fifty-six million, seven hundred twenty-one thousand, five hundred twenty-five".