25015625000 has 80 divisors (see below), whose sum is σ = 58666986180. Its totient is φ = 10000000000.

The previous prime is 25015624969. The next prime is 25015625039. The reversal of 25015625000 is 52651052.

It can be written as a sum of positive squares in 10 ways, for example, as 23225150404 + 1790474596 = 152398^2 + 42314^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15624200 + ... + 15625800.

Almost surely, 2^25015625000 is an apocalyptic number.

25015625000 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 25015625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29333493090).

25015625000 is an abundant number, since it is smaller than the sum of its proper divisors (33651361180).

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

25015625000 is an frugal number, since it uses more digits than its factorization.

25015625000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

It can be divided in two parts, 250 and 15625000, that multiplied together give a 4-th power (3906250000 = 250⁴).

The spelling of 25015625000 in words is "twenty-five billion, fifteen million, six hundred twenty-five thousand".