25509014916025 has 9 divisors (see below), whose sum is σ = 31631209809901. Its totient is φ = 20407191730240.

The previous prime is 25509014916017. The next prime is 25509014916079. The reversal of 25509014916025 is 52061941090552.

The square root of 25509014916025 is 5050645.

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 967651918249 + 24541362997776 = 983693^2 + 4953924^2 .

It is not a de Polignac number, because 25509014916025 - 2³ = 25509014916017 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 25509014916025.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24748161 + ... + 25758289.

Almost surely, 2^{25509014916025} is an apocalyptic number.

25509014916025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25509014916025 is the 5050645-th square number.

25509014916025 is the 2525323-rd centered octagonal number.

It is an amenable number.

25509014916025 is a deficient number, since it is larger than the sum of its proper divisors (6122194893876).

25509014916025 is an frugal number, since it uses more digits than its factorization.

25509014916025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020268 (or 1010134 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 49.

The spelling of 25509014916025 in words is "twenty-five trillion, five hundred nine billion, fourteen million, nine hundred sixteen thousand, twenty-five".