25501013000 has 64 divisors (see below), whose sum is σ = 59721217920. Its totient is φ = 10192056000.

The previous prime is 25501012969. The next prime is 25501013011. The reversal of 25501013000 is 31010552.

It is a self number, because there is not a number n which added to its sum of digits gives 25501013000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1293215 + ... + 1312785.

It is an arithmetic number, because the mean of its divisors is an integer number (933144030).

Almost surely, 2^25501013000 is an apocalyptic number.

25501013000 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 25501013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29860608960).

25501013000 is an abundant number, since it is smaller than the sum of its proper divisors (34220204920).

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

25501013000 is a wasteful number, since it uses less digits than its factorization.

25501013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20895 (or 20881 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

Adding to 25501013000 its reverse (31010552), we get a palindrome (25532023552).

The spelling of 25501013000 in words is "twenty-five billion, five hundred one million, thirteen thousand".