253285062912 has 576 divisors, whose sum is σ = 881830656000. Its totient is φ = 70217736192.

The previous prime is 253285062907. The next prime is 253285062937. The reversal of 253285062912 is 219260582352.

253285062912 is a `hidden beast` number, since 2 + 5 + 3 + 2 + 8 + 5 + 0 + 629 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×253285062912³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 236935914 + ... + 236936982.

It is an arithmetic number, because the mean of its divisors is an integer number (1530956000).

Almost surely, 2^253285062912 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 253285062912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440915328000).

253285062912 is an abundant number, since it is smaller than the sum of its proper divisors (628545593088).

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

253285062912 is a wasteful number, since it uses less digits than its factorization.

253285062912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 253285062912 in words is "two hundred fifty-three billion, two hundred eighty-five million, sixty-two thousand, nine hundred twelve".