253765064 has 64 divisors (see below), whose sum is σ = 579840000. Its totient is φ = 101694528.

The previous prime is 253765027. The next prime is 253765081. The reversal of 253765064 is 460567352.

253765064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82547 + ... + 85565.

It is an arithmetic number, because the mean of its divisors is an integer number (9060000).

Almost surely, 2^253765064 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 253765064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289920000).

253765064 is an abundant number, since it is smaller than the sum of its proper divisors (326074936).

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

253765064 is a wasteful number, since it uses less digits than its factorization.

253765064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3130 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 38.

The square root of 253765064 is about 15930.0051475196. The cubic root of 253765064 is about 633.1072362531.

The spelling of 253765064 in words is "two hundred fifty-three million, seven hundred sixty-five thousand, sixty-four".