393057525249 has 81 divisors (see below), whose sum is σ = 637510035747. Its totient is φ = 233282982528.

The previous prime is 393057525239. The next prime is 393057525251. The reversal of 393057525249 is 942525750393.

The square root of 393057525249 is 626943.

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

393057525249 is a `hidden beast` number, since 3 + 9 + 3 + 0 + 575 + 25 + 2 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 306013644225 + 87043881024 = 553185^2 + 295032^2 .

It is not a de Polignac number, because 393057525249 - 2⁷ = 393057525121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 393057525195 and 393057525204.

It is not an unprimeable number, because it can be changed into a prime (393057525239) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 607507444 + ... + 607508090.

Almost surely, 2^393057525249 is an apocalyptic number.

393057525249 is the 626943-rd square number.

393057525249 is the 313472-nd centered octagonal number.

It is an amenable number.

393057525249 is a deficient number, since it is larger than the sum of its proper divisors (244452510498).

393057525249 is an equidigital number, since it uses as much as digits as its factorization.

393057525249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 10206000, while the sum is 54.

The spelling of 393057525249 in words is "three hundred ninety-three billion, fifty-seven million, five hundred twenty-five thousand, two hundred forty-nine".