382703213225 has 48 divisors (see below), whose sum is σ = 497645046000. Its totient is φ = 291575424000.

The previous prime is 382703213153. The next prime is 382703213227. The reversal of 382703213225 is 522312307283.

It can be written as a sum of positive squares in 24 ways, for example, as 342858262681 + 39844950544 = 585541^2 + 199612^2 .

It is not a de Polignac number, because 382703213225 - 2¹² = 382703209129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (382703213227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19687811 + ... + 19707239.

It is an arithmetic number, because the mean of its divisors is an integer number (10367605125).

Almost surely, 2^382703213225 is an apocalyptic number.

It is an amenable number.

382703213225 is a deficient number, since it is larger than the sum of its proper divisors (114941832775).

382703213225 is a wasteful number, since it uses less digits than its factorization.

382703213225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19838 (or 19833 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The spelling of 382703213225 in words is "three hundred eighty-two billion, seven hundred three million, two hundred thirteen thousand, two hundred twenty-five".