253392262272 has 72 divisors (see below), whose sum is σ = 729211797795. Its totient is φ = 84458392320.

The previous prime is 253392262271. The next prime is 253392262297. The reversal of 253392262272 is 272262293352.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

253392262272 is a `hidden beast` number, since 2 + 5 + 33 + 92 + 262 + 272 = 666.

It can be written as a sum of positive squares in only one way, i.e., 126696131136 + 126696131136 = 355944^2 + 355944^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=355944.

It is not an unprimeable number, because it can be changed into a prime (253392262271) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17077897 + ... + 17092727.

Almost surely, 2^253392262272 is an apocalyptic number.

It is an amenable number.

253392262272 is an abundant number, since it is smaller than the sum of its proper divisors (475819535523).

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

253392262272 is an frugal number, since it uses more digits than its factorization.

253392262272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29682 (or 14836 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The spelling of 253392262272 in words is "two hundred fifty-three billion, three hundred ninety-two million, two hundred sixty-two thousand, two hundred seventy-two".