25628916375001 has 9 divisors (see below), whose sum is σ = 26543298498301. Its totient is φ = 24745018887904.

The previous prime is 25628916374953. The next prime is 25628916375037. The reversal of 25628916375001 is 10057361982652.

The square root of 25628916375001 is 5062501.

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

It can be written as a sum of positive squares in 4 ways, for example, as 63151187401 + 25565765187600 = 251299^2 + 5056260^2 .

It is not a de Polignac number, because 25628916375001 - 2¹⁷ = 25628916243929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25628916375061) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 146725245 + ... + 146899813.

Almost surely, 2^{25628916375001} is an apocalyptic number.

25628916375001 is the 5062501-st square number.

25628916375001 is the 2531251-st centered octagonal number.

It is an amenable number.

25628916375001 is a deficient number, since it is larger than the sum of its proper divisors (914382123300).

25628916375001 is an frugal number, since it uses more digits than its factorization.

25628916375001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349196 (or 174598 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 55.

The spelling of 25628916375001 in words is "twenty-five trillion, six hundred twenty-eight billion, nine hundred sixteen million, three hundred seventy-five thousand, one".