253010442000 has 640 divisors, whose sum is σ = 887806033920. Its totient is φ = 61797120000.

The previous prime is 253010441989. The next prime is 253010442037. The reversal of 253010442000 is 244010352.

253010442000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×253010442000² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 764381835 + ... + 764382165.

It is an arithmetic number, because the mean of its divisors is an integer number (1387196928).

Almost surely, 2^253010442000 is an apocalyptic number.

253010442000 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 253010442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443903016960).

253010442000 is an abundant number, since it is smaller than the sum of its proper divisors (634795591920).

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

253010442000 is a wasteful number, since it uses less digits than its factorization.

253010442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 253010442000 its reverse (244010352), we get a palindrome (253254452352).

The spelling of 253010442000 in words is "two hundred fifty-three billion, ten million, four hundred forty-two thousand".