25201000000 has 392 divisors, whose sum is σ = 71436585600. Its totient is φ = 8736000000.

The previous prime is 25200999997. The next prime is 25201000003. The reversal of 25201000000 is 10252.

It is an interprime number because it is at equal distance from previous prime (25200999997) and next prime (25201000003).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (25201000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 318999961 + ... + 319000039.

Almost surely, 2^25201000000 is an apocalyptic number.

25201000000 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 25201000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35718292800).

25201000000 is an abundant number, since it is smaller than the sum of its proper divisors (46235585600).

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

25201000000 is an frugal number, since it uses more digits than its factorization.

25201000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

Adding to 25201000000 its reverse (10252), we get a palindrome (25201010252).

The spelling of 25201000000 in words is "twenty-five billion, two hundred one million", and thus it is an aban number.