25006250000 has 90 divisors (see below), whose sum is σ = 60577117422. Its totient is φ = 10000000000.

The previous prime is 25006249993. The next prime is 25006250021. The reversal of 25006250000 is 5260052.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 2453419024 + 22552830976 = 49532^2 + 150176^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6248000 + ... + 6252000.

Almost surely, 2^25006250000 is an apocalyptic number.

25006250000 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 25006250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30288558711).

25006250000 is an abundant number, since it is smaller than the sum of its proper divisors (35570867422).

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

25006250000 is an frugal number, since it uses more digits than its factorization.

25006250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4049 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

It can be divided in two parts, 2500 and 6250000, that multiplied together give a 6-th power (15625000000 = 50⁶).

The spelling of 25006250000 in words is "twenty-five billion, six million, two hundred fifty thousand".