25501071000 has 384 divisors, whose sum is σ = 85975718400. Its totient is φ = 6290380800.

The previous prime is 25501070953. The next prime is 25501071007. The reversal of 25501071000 is 17010552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25501071007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58088781 + ... + 58089219.

It is an arithmetic number, because the mean of its divisors is an integer number (223895100).

Almost surely, 2^25501071000 is an apocalyptic number.

25501071000 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 25501071000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42987859200).

25501071000 is an abundant number, since it is smaller than the sum of its proper divisors (60474647400).

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

25501071000 is a wasteful number, since it uses less digits than its factorization.

25501071000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 21.

Adding to 25501071000 its reverse (17010552), we get a palindrome (25518081552).

The spelling of 25501071000 in words is "twenty-five billion, five hundred one million, seventy-one thousand".