253016064 has 288 divisors, whose sum is σ = 873905760. Its totient is φ = 69009408.

The previous prime is 253016059. The next prime is 253016089. The reversal of 253016064 is 460610352.

253016064 is a `hidden beast` number, since 2 + 53 + 0 + 1 + 606 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4773862 + ... + 4773914.

It is an arithmetic number, because the mean of its divisors is an integer number (3034395).

Almost surely, 2^253016064 is an apocalyptic number.

253016064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253016064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436952880).

253016064 is an abundant number, since it is smaller than the sum of its proper divisors (620889696).

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

253016064 is a wasteful number, since it uses less digits than its factorization.

253016064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 253016064 is about 15906.4786800850. The cubic root of 253016064 is about 632.4837400977.

The spelling of 253016064 in words is "two hundred fifty-three million, sixteen thousand, sixty-four".