253133505 has 40 divisors (see below), whose sum is σ = 454949352. Its totient is φ = 134652672.

The previous prime is 253133501. The next prime is 253133513. The reversal of 253133505 is 505331352.

253133505 is a `hidden beast` number, since 25 + 3 + 133 + 505 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30735936 + 222397569 = 5544^2 + 14913^2 .

It is not a de Polignac number, because 253133505 - 2² = 253133501 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (253133501) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 249379 + ... + 250391.

Almost surely, 2^253133505 is an apocalyptic number.

It is an amenable number.

253133505 is a deficient number, since it is larger than the sum of its proper divisors (201815847).

253133505 is a wasteful number, since it uses less digits than its factorization.

253133505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The square root of 253133505 is about 15910.1698608154. The cubic root of 253133505 is about 632.5815837314.

Adding to 253133505 its reverse (505331352), we get a palindrome (758464857).

The spelling of 253133505 in words is "two hundred fifty-three million, one hundred thirty-three thousand, five hundred five".