25576645329 has 9 divisors (see below), whose sum is σ = 36944736283. Its totient is φ = 17050777032.

The previous prime is 25576645291. The next prime is 25576645337. The reversal of 25576645329 is 92354667552.

It is a happy number.

The square root of 25576645329 is 159927.

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

25576645329 is a `hidden beast` number, since 2 + 5 + 576 + 6 + 45 + 3 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7626004929 + 17950640400 = 87327^2 + 133980^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 25576645329 - 2⁹ = 25576644817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25576645349) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 453127 + ... + 506435.

Almost surely, 2^25576645329 is an apocalyptic number.

25576645329 is the 159927-th square number.

25576645329 is the 79964-th centered octagonal number.

It is an amenable number.

25576645329 is a deficient number, since it is larger than the sum of its proper divisors (11368090954).

25576645329 is an frugal number, since it uses more digits than its factorization.

25576645329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106624 (or 53312 counting only the distinct ones).

The product of its digits is 13608000, while the sum is 54.

The spelling of 25576645329 in words is "twenty-five billion, five hundred seventy-six million, six hundred forty-five thousand, three hundred twenty-nine".