253520505905 has 32 divisors (see below), whose sum is σ = 316863456000. Its totient is φ = 194562300672.

The previous prime is 253520505883. The next prime is 253520505923. The reversal of 253520505905 is 509505025352.

It is a cyclic number.

It is not a de Polignac number, because 253520505905 - 2⁸ = 253520505649 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4334546 + ... + 4392644.

It is an arithmetic number, because the mean of its divisors is an integer number (9901983000).

Almost surely, 2^253520505905 is an apocalyptic number.

It is an amenable number.

253520505905 is a deficient number, since it is larger than the sum of its proper divisors (63342950095).

253520505905 is a wasteful number, since it uses less digits than its factorization.

253520505905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58473.

The product of its (nonzero) digits is 337500, while the sum is 41.

The spelling of 253520505905 in words is "two hundred fifty-three billion, five hundred twenty million, five hundred five thousand, nine hundred five".