25205353000 has 128 divisors (see below), whose sum is σ = 60984443520. Its totient is φ = 9744537600.

The previous prime is 25205352877. The next prime is 25205353001. The reversal of 25205353000 is 35350252.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (25205353001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4167979 + ... + 4174021.

It is an arithmetic number, because the mean of its divisors is an integer number (476440965).

Almost surely, 2^25205353000 is an apocalyptic number.

25205353000 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 25205353000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30492221760).

25205353000 is an abundant number, since it is smaller than the sum of its proper divisors (35779090520).

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

25205353000 is a wasteful number, since it uses less digits than its factorization.

25205353000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6204 (or 6190 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 25.

The spelling of 25205353000 in words is "twenty-five billion, two hundred five million, three hundred fifty-three thousand".