253735566 has 64 divisors (see below), whose sum is σ = 604780032. Its totient is φ = 69455232.

The previous prime is 253735553. The next prime is 253735567. The reversal of 253735566 is 665537352.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253735567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102900 + ... + 105336.

It is an arithmetic number, because the mean of its divisors is an integer number (9449688).

Almost surely, 2^253735566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253735566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302390016).

253735566 is an abundant number, since it is smaller than the sum of its proper divisors (351044466).

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

253735566 is a wasteful number, since it uses less digits than its factorization.

253735566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2553.

The product of its digits is 567000, while the sum is 42.

The square root of 253735566 is about 15929.0792577600. The cubic root of 253735566 is about 633.0827042172.

The spelling of 253735566 in words is "two hundred fifty-three million, seven hundred thirty-five thousand, five hundred sixty-six".