25165261000 has 128 divisors (see below), whose sum is σ = 64878952320. Its totient is φ = 9060000000.

The previous prime is 25165260959. The next prime is 25165261013. The reversal of 25165261000 is 16256152.

It is a super-2 number, since 2×25165261000² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 25165261000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1099675 + ... + 1122325.

It is an arithmetic number, because the mean of its divisors is an integer number (506866815).

Almost surely, 2^25165261000 is an apocalyptic number.

25165261000 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 25165261000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32439476160).

25165261000 is an abundant number, since it is smaller than the sum of its proper divisors (39713691320).

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

25165261000 is a wasteful number, since it uses less digits than its factorization.

25165261000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22784 (or 22770 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The spelling of 25165261000 in words is "twenty-five billion, one hundred sixty-five million, two hundred sixty-one thousand".