253314220152 has 128 divisors (see below), whose sum is σ = 736458278400. Its totient is φ = 71110752768.

The previous prime is 253314220151. The next prime is 253314220213. The reversal of 253314220152 is 251022413352.

253314220152 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253314220151) 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 31 ways as a sum of consecutive naturals, for example, 4349658 + ... + 4407510.

It is an arithmetic number, because the mean of its divisors is an integer number (5753580300).

Almost surely, 2^253314220152 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 253314220152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368229139200).

253314220152 is an abundant number, since it is smaller than the sum of its proper divisors (483144058248).

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

253314220152 is a wasteful number, since it uses less digits than its factorization.

253314220152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58325 (or 58321 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 253314220152 in words is "two hundred fifty-three billion, three hundred fourteen million, two hundred twenty thousand, one hundred fifty-two".