253838000052 has 108 divisors (see below), whose sum is σ = 803820406116. Its totient is φ = 66946279680.

The previous prime is 253838000033. The next prime is 253838000131. The reversal of 253838000052 is 250000838352.

253838000052 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 95373498276 + 158464501776 = 308826^2 + 398076^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 253837999980 and 253838000016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5511649 + ... + 5557512.

Almost surely, 2^253838000052 is an apocalyptic number.

It is an amenable number.

253838000052 is an abundant number, since it is smaller than the sum of its proper divisors (549982406064).

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

253838000052 is a wasteful number, since it uses less digits than its factorization.

253838000052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11069198 (or 11069186 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 253838000052 in words is "two hundred fifty-three billion, eight hundred thirty-eight million, fifty-two", and thus it is an aban number.