25946543750625 has 75 divisors (see below), whose sum is σ = 48436200361461. Its totient is φ = 13837545414000.

The previous prime is 25946543750551. The next prime is 25946543750627. The reversal of 25946543750625 is 52605734564952.

The square root of 25946543750625 is 5093775.

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

25946543750625 is a `hidden beast` number, since 2 + 5 + 9 + 4 + 65 + 43 + 7 + 506 + 25 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2034209030049 + 23912334720576 = 1426257^2 + 4890024^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 25946543750625 - 2¹³ = 25946543742433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (25946543750627) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 1146088056 + ... + 1146110694.

Almost surely, 2^{25946543750625} is an apocalyptic number.

25946543750625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25946543750625 is the 5093775-th square number.

25946543750625 is the 2546888-th centered octagonal number.

It is an amenable number.

25946543750625 is a deficient number, since it is larger than the sum of its proper divisors (22489656610836).

25946543750625 is an frugal number, since it uses more digits than its factorization.

25946543750625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45310 (or 22647 counting only the distinct ones).

The product of its (nonzero) digits is 272160000, while the sum is 63.

The spelling of 25946543750625 in words is "twenty-five trillion, nine hundred forty-six billion, five hundred forty-three million, seven hundred fifty thousand, six hundred twenty-five".