25263000 has 192 divisors, whose sum is σ = 97830720. Its totient is φ = 5760000.

The previous prime is 25262999. The next prime is 25263013. The reversal of 25263000 is 36252.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62800 + ... + 63200.

It is an arithmetic number, because the mean of its divisors is an integer number (509535).

Almost surely, 2^25263000 is an apocalyptic number.

25263000 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 25263000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48915360).

25263000 is an abundant number, since it is smaller than the sum of its proper divisors (72567720).

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

25263000 is a wasteful number, since it uses less digits than its factorization.

25263000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 25263000 is about 5026.2311924542. The cubic root of 25263000 is about 293.4235546626.

Adding to 25263000 its reverse (36252), we get a palindrome (25299252).

The spelling of 25263000 in words is "twenty-five million, two hundred sixty-three thousand".