253151332000 has 192 divisors, whose sum is σ = 733782067200. Its totient is φ = 83994624000.

The previous prime is 253151331857. The next prime is 253151332003. The reversal of 253151332000 is 233151352.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (253151332003) 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, 722176 + ... + 1013824.

It is an arithmetic number, because the mean of its divisors is an integer number (3821781600).

Almost surely, 2^253151332000 is an apocalyptic number.

253151332000 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 253151332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366891033600).

253151332000 is an abundant number, since it is smaller than the sum of its proper divisors (480630735200).

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

253151332000 is a wasteful number, since it uses less digits than its factorization.

253151332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291712 (or 291694 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

Adding to 253151332000 its reverse (233151352), we get a palindrome (253384483352).

The spelling of 253151332000 in words is "two hundred fifty-three billion, one hundred fifty-one million, three hundred thirty-two thousand".