25035000 has 80 divisors (see below), whose sum is σ = 78256200. Its totient is φ = 6672000.

The previous prime is 25034993. The next prime is 25035001. The reversal of 25035000 is 53052.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25035001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14166 + ... + 15834.

Almost surely, 2^25035000 is an apocalyptic number.

25035000 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 25035000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39128100).

25035000 is an abundant number, since it is smaller than the sum of its proper divisors (53221200).

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

25035000 is a wasteful number, since it uses less digits than its factorization.

25035000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 15.

The square root of 25035000 is about 5003.4987758568. The cubic root of 25035000 is about 292.5381643533.

Adding to 25035000 its reverse (53052), we get a palindrome (25088052).

It can be divided in two parts, 2503 and 5000, that added together give a triangular number (7503 = T₁₂₂).

The spelling of 25035000 in words is "twenty-five million, thirty-five thousand".