25252033252000 has 192 divisors, whose sum is σ = 62236423581696. Its totient is φ = 10069576473600.

The previous prime is 25252033251989. The next prime is 25252033252001. The reversal of 25252033252000 is 25233025252.

It is a super-2 number, since 2×25252033252000² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25252033252001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1777428897 + ... + 1777443103.

It is an arithmetic number, because the mean of its divisors is an integer number (324148039488).

Almost surely, 2^{25252033252000} is an apocalyptic number.

25252033252000 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 25252033252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31118211790848).

25252033252000 is an abundant number, since it is smaller than the sum of its proper divisors (36984390329696).

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

25252033252000 is a wasteful number, since it uses less digits than its factorization.

25252033252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15576 (or 15558 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 31.

Adding to 25252033252000 its reverse (25233025252), we get a palindrome (25277266277252).

The spelling of 25252033252000 in words is "twenty-five trillion, two hundred fifty-two billion, thirty-three million, two hundred fifty-two thousand".