625312448289 has 45 divisors (see below), whose sum is σ = 957894532419. Its totient is φ = 406517499360.

The previous prime is 625312448263. The next prime is 625312448297. The reversal of 625312448289 is 982844213526.

The square root of 625312448289 is 790767.

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

625312448289 is a `hidden beast` number, since 6 + 2 + 5 + 312 + 4 + 48 + 289 = 666.

625312448289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 30131057889 + 595181390400 = 173583^2 + 771480^2 .

It is not a de Polignac number, because 625312448289 - 2⁷ = 625312448161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (625312448209) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 291791952 + ... + 291794094.

Almost surely, 2^625312448289 is an apocalyptic number.

625312448289 is the 790767-th square number.

625312448289 is the 395384-th centered octagonal number.

It is an amenable number.

625312448289 is a deficient number, since it is larger than the sum of its proper divisors (332582084130).

625312448289 is an frugal number, since it uses more digits than its factorization.

625312448289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4380 (or 2187 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 625312448289 in words is "six hundred twenty-five billion, three hundred twelve million, four hundred forty-eight thousand, two hundred eighty-nine".