253536151425000 has 384 divisors, whose sum is σ = 800503095772800. Its totient is φ = 66906000000000.

The previous prime is 253536151424993. The next prime is 253536151425013. The reversal of 253536151425000 is 524151635352.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17051317566 + ... + 17051332434.

It is an arithmetic number, because the mean of its divisors is an integer number (2084643478575).

Almost surely, 2^{253536151425000} is an apocalyptic number.

253536151425000 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 253536151425000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400251547886400).

253536151425000 is an abundant number, since it is smaller than the sum of its proper divisors (546966944347800).

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

253536151425000 is a wasteful number, since it uses less digits than its factorization.

253536151425000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17255 (or 17231 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 42.

The spelling of 253536151425000 in words is "two hundred fifty-three trillion, five hundred thirty-six billion, one hundred fifty-one million, four hundred twenty-five thousand".