25700854299201 has 21 divisors (see below), whose sum is σ = 38533859202769. Its totient is φ = 17133811613316.

The previous prime is 25700854299181. The next prime is 25700854299203. The reversal of 25700854299201 is 10299245800752.

The square root of 25700854299201 is 5069601.

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

25700854299201 is a `hidden beast` number, since 2 + 5 + 7 + 0 + 0 + 8 + 5 + 429 + 9 + 201 = 666.

It is not a de Polignac number, because 25700854299201 - 2²¹ = 25700852202049 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (25700854299203) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 136785346 + ... + 136973108.

Almost surely, 2^{25700854299201} is an apocalyptic number.

25700854299201 is the 5069601-st square number.

25700854299201 is the 2534801-st centered octagonal number.

It is an amenable number.

25700854299201 is a deficient number, since it is larger than the sum of its proper divisors (12833004903568).

25700854299201 is an frugal number, since it uses more digits than its factorization.

25700854299201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375544 (or 187766 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 25700854299201 in words is "twenty-five trillion, seven hundred billion, eight hundred fifty-four million, two hundred ninety-nine thousand, two hundred one".