253210557312 has 384 divisors, whose sum is σ = 784238832000. Its totient is φ = 78256668672.

The previous prime is 253210557293. The next prime is 253210557317. The reversal of 253210557312 is 213755012352.

253210557312 is a `hidden beast` number, since 2 + 53 + 21 + 0 + 5 + 573 + 12 = 666.

253210557312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253210557317) 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 47 ways as a sum of consecutive naturals, for example, 97650288 + ... + 97652880.

It is an arithmetic number, because the mean of its divisors is an integer number (2042288625).

Almost surely, 2^253210557312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253210557312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392119416000).

253210557312 is an abundant number, since it is smaller than the sum of its proper divisors (531028274688).

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

253210557312 is a wasteful number, since it uses less digits than its factorization.

253210557312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2758 (or 2743 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

Adding to 253210557312 its reverse (213755012352), we get a palindrome (466965569664).

The spelling of 253210557312 in words is "two hundred fifty-three billion, two hundred ten million, five hundred fifty-seven thousand, three hundred twelve".