383625390625 has 27 divisors (see below), whose sum is σ = 480015867513. Its totient is φ = 306590625000.

The previous prime is 383625390557. The next prime is 383625390661. The reversal of 383625390625 is 526093526383.

It is a happy number.

The square root of 383625390625 is 619375.

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

It can be written as a sum of positive squares in 4 ways, for example, as 272752374049 + 110873016576 = 522257^2 + 332976^2 .

It is not a de Polignac number, because 383625390625 - 2¹³ = 383625382433 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 387108880 + ... + 387109870.

Almost surely, 2^383625390625 is an apocalyptic number.

383625390625 is the 619375-th square number.

383625390625 is the 309688-th centered octagonal number.

It is an amenable number.

383625390625 is a deficient number, since it is larger than the sum of its proper divisors (96390476888).

383625390625 is an frugal number, since it uses more digits than its factorization.

383625390625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 52.

The spelling of 383625390625 in words is "three hundred eighty-three billion, six hundred twenty-five million, three hundred ninety thousand, six hundred twenty-five".