253474727265 has 48 divisors (see below), whose sum is σ = 444017645136. Its totient is φ = 133754112000.

The previous prime is 253474727189. The next prime is 253474727323. The reversal of 253474727265 is 562727474352.

253474727265 is a `hidden beast` number, since 2 + 5 + 3 + 47 + 472 + 72 + 65 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 29798700129 + 223676027136 = 172623^2 + 472944^2 .

It is not a de Polignac number, because 253474727265 - 2¹⁶ = 253474661729 is a prime.

It is a super-2 number, since 2×253474727265² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6712317 + ... + 6749973.

It is an arithmetic number, because the mean of its divisors is an integer number (9250367607).

Almost surely, 2^253474727265 is an apocalyptic number.

It is an amenable number.

253474727265 is a deficient number, since it is larger than the sum of its proper divisors (190542917871).

253474727265 is a wasteful number, since it uses less digits than its factorization.

253474727265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39250 (or 39247 counting only the distinct ones).

The product of its digits is 19756800, while the sum is 54.

The spelling of 253474727265 in words is "two hundred fifty-three billion, four hundred seventy-four million, seven hundred twenty-seven thousand, two hundred sixty-five".