253509009408 has 96 divisors (see below), whose sum is σ = 732349037550. Its totient is φ = 84502904832.

The previous prime is 253509009367. The next prime is 253509009409. The reversal of 253509009408 is 804900905352.

253509009408 is a `hidden beast` number, since 2 + 53 + 509 + 0 + 0 + 94 + 0 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 207760932864 + 45748076544 = 455808^2 + 213888^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×253509009408³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (253509009409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 134893 + ... + 724716.

Almost surely, 2^253509009408 is an apocalyptic number.

It is an amenable number.

253509009408 is an abundant number, since it is smaller than the sum of its proper divisors (478840028142).

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

253509009408 is an frugal number, since it uses more digits than its factorization.

253509009408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859645 (or 859614 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 253509009408 in words is "two hundred fifty-three billion, five hundred nine million, nine thousand, four hundred eight".