25577552 has 80 divisors (see below), whose sum is σ = 66579072. Its totient is φ = 9192960.

The previous prime is 25577551. The next prime is 25577557.

25577552 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×25577552² = 1308422332625408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25577551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15218 + ... + 16814.

Almost surely, 2^25577552 is an apocalyptic number.

25577552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25577552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33289536).

25577552 is an abundant number, since it is smaller than the sum of its proper divisors (41001520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25577552 is a wasteful number, since it uses less digits than its factorization.

25577552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 1630 counting only the distinct ones).

The product of its digits is 122500, while the sum is 38.

The square root of 25577552 is about 5057.4254319762. The cubic root of 25577552 is about 294.6363497630.

The spelling of 25577552 in words is "twenty-five million, five hundred seventy-seven thousand, five hundred fifty-two".