25432301000 has 64 divisors (see below), whose sum is σ = 59568687360. Its totient is φ = 10163160000.

The previous prime is 25432300969. The next prime is 25432301009. The reversal of 25432301000 is 10323452.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (25432301009) by changing a digit.

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, 1079345 + ... + 1102655.

It is an arithmetic number, because the mean of its divisors is an integer number (930760740).

Almost surely, 2^25432301000 is an apocalyptic number.

25432301000 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 25432301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29784343680).

25432301000 is an abundant number, since it is smaller than the sum of its proper divisors (34136386360).

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

25432301000 is a wasteful number, since it uses less digits than its factorization.

25432301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24423 (or 24409 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 25432301000 its reverse (10323452), we get a palindrome (25442624452).

The spelling of 25432301000 in words is "twenty-five billion, four hundred thirty-two million, three hundred one thousand".