384852733225 has 27 divisors (see below), whose sum is σ = 486599239119. Its totient is φ = 301944052800.

The previous prime is 384852733211. The next prime is 384852733231. The reversal of 384852733225 is 522337258483.

The square root of 384852733225 is 620365.

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

It can be written as a sum of positive squares in 13 ways, for example, as 102929963929 + 281922769296 = 320827^2 + 530964^2 .

It is not a de Polignac number, because 384852733225 - 2⁹ = 384852732713 is a prime.

It is a super-2 number, since 2×384852733225² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 164395555 + ... + 164397895.

Almost surely, 2^384852733225 is an apocalyptic number.

384852733225 is the 620365-th square number.

384852733225 is the 310183-rd centered octagonal number.

It is an amenable number.

384852733225 is a deficient number, since it is larger than the sum of its proper divisors (101746505894).

384852733225 is an frugal number, since it uses more digits than its factorization.

384852733225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4798 (or 2399 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 52.

The spelling of 384852733225 in words is "three hundred eighty-four billion, eight hundred fifty-two million, seven hundred thirty-three thousand, two hundred twenty-five".