25260900 has 144 divisors (see below), whose sum is σ = 87327744. Its totient is φ = 5512320.

The previous prime is 25260889. The next prime is 25260919. The reversal of 25260900 is 906252.

It is a super-2 number, since 2×25260900² = 1276226137620000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48039 + ... + 48561.

Almost surely, 2^25260900 is an apocalyptic number.

25260900 is a gapful number since it is divisible by the number (20) 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 25260900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43663872).

25260900 is an abundant number, since it is smaller than the sum of its proper divisors (62066844).

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

25260900 is a wasteful number, since it uses less digits than its factorization.

25260900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 25260900 is about 5026.0222840732. The cubic root of 25260900 is about 293.4154241088.

The spelling of 25260900 in words is "twenty-five million, two hundred sixty thousand, nine hundred".