25109008570321 has 27 divisors (see below), whose sum is σ = 28696777594011. Its totient is φ = 21956593158864.

The previous prime is 25109008570277. The next prime is 25109008570333. The reversal of 25109008570321 is 12307580090152.

It is a happy number.

The square root of 25109008570321 is 5010889.

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., 3714350380225 + 21394658190096 = 1927265^2 + 4625436^2 .

It is not a de Polignac number, because 25109008570321 - 2¹⁹ = 25109008046033 is a prime.

It is a super-2 number, since 2×25109008570321² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25109008570381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1237679440 + ... + 1237699726.

It is an arithmetic number, because the mean of its divisors is an integer number (1062843614593).

Almost surely, 2^{25109008570321} is an apocalyptic number.

25109008570321 is the 5010889-th square number.

25109008570321 is the 2505445-th centered octagonal number.

It is an amenable number.

25109008570321 is a deficient number, since it is larger than the sum of its proper divisors (3587769023690).

25109008570321 is an frugal number, since it uses more digits than its factorization.

25109008570321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40638 (or 20319 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 43.

The spelling of 25109008570321 in words is "twenty-five trillion, one hundred nine billion, eight million, five hundred seventy thousand, three hundred twenty-one".