25873044201 has 9 divisors (see below), whose sum is σ = 37372871991. Its totient is φ = 17248374432.

The previous prime is 25873044161. The next prime is 25873044259. The reversal of 25873044201 is 10244037852.

It is a happy number.

The square root of 25873044201 is 160851.

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

25873044201 is a `hidden beast` number, since 2 + 587 + 30 + 4 + 42 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25381269225 + 491774976 = 159315^2 + 22176^2 .

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

It is a de Polignac number, because none of the positive numbers 2^k-25873044201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (25873045201) 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, 455745 + ... + 509361.

Almost surely, 2^25873044201 is an apocalyptic number.

25873044201 is the 160851-st square number.

25873044201 is the 80426-th centered octagonal number.

It is an amenable number.

25873044201 is a deficient number, since it is larger than the sum of its proper divisors (11499827790).

25873044201 is an frugal number, since it uses more digits than its factorization.

25873044201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107240 (or 53620 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Multiplying 25873044201 by its sum of digits (36), we get a square (931429591236 = 965106²).

The spelling of 25873044201 in words is "twenty-five billion, eight hundred seventy-three million, forty-four thousand, two hundred one".