25616322601 has 9 divisors (see below), whose sum is σ = 26534911351. Its totient is φ = 24728519704.

The previous prime is 25616322593. The next prime is 25616322607. The reversal of 25616322601 is 10622361652.

The square root of 25616322601 is 160051.

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

It can be written as a sum of positive squares in only one way, i.e., 13432578201 + 12183744400 = 115899^2 + 110380^2 .

It is not a de Polignac number, because 25616322601 - 2³ = 25616322593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25616322607) 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 8 ways as a sum of consecutive naturals, for example, 4638720 + ... + 4644238.

Almost surely, 2^25616322601 is an apocalyptic number.

25616322601 is the 160051-st square number.

25616322601 is the 80026-th centered octagonal number.

It is an amenable number.

25616322601 is a deficient number, since it is larger than the sum of its proper divisors (918588750).

25616322601 is an frugal number, since it uses more digits than its factorization.

25616322601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11096 (or 5548 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 25616322601 in words is "twenty-five billion, six hundred sixteen million, three hundred twenty-two thousand, six hundred one".