25313345600 has 84 divisors (see below), whose sum is σ = 62735307600. Its totient is φ = 10052405760.

The previous prime is 25313345591. The next prime is 25313345609. The reversal of 25313345600 is 654331352.

It is an interprime number because it is at equal distance from previous prime (25313345591) and next prime (25313345609).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (25313345609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165491 + ... + 279309.

It is an arithmetic number, because the mean of its divisors is an integer number (746848900).

Almost surely, 2^25313345600 is an apocalyptic number.

25313345600 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 25313345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31367653800).

25313345600 is an abundant number, since it is smaller than the sum of its proper divisors (37421962000).

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

25313345600 is a wasteful number, since it uses less digits than its factorization.

25313345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113980 (or 113965 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 32.

Adding to 25313345600 its reverse (654331352), we get a palindrome (25967676952).

The spelling of 25313345600 in words is "twenty-five billion, three hundred thirteen million, three hundred forty-five thousand, six hundred".