25566411025 has 27 divisors (see below), whose sum is σ = 32098806129. Its totient is φ = 20200494720.

The previous prime is 25566411023. The next prime is 25566411029. The reversal of 25566411025 is 52011466552.

25566411025 = 1³ + 2³ + ... + 565³.

The square root of 25566411025 is 159895.

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 13007174401 + 12559236624 = 114049^2 + 112068^2 .

It is not a de Polignac number, because 25566411025 - 2¹ = 25566411023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25566411023) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 90340534 + ... + 90340816.

Almost surely, 2^25566411025 is an apocalyptic number.

25566411025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25566411025 is the 159895-th square number.

25566411025 is the 79948-th centered octagonal number.

It is an amenable number.

25566411025 is a deficient number, since it is larger than the sum of its proper divisors (6532395104).

25566411025 is an frugal number, since it uses more digits than its factorization.

25566411025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

Adding to 25566411025 its reverse (52011466552), we get a palindrome (77577877577).

The spelling of 25566411025 in words is "twenty-five billion, five hundred sixty-six million, four hundred eleven thousand, twenty-five".