253764009 has 20 divisors (see below), whose sum is σ = 383349780. Its totient is φ = 167270400.

The previous prime is 253763969. The next prime is 253764029. The reversal of 253764009 is 900467352.

253764009 is a `hidden beast` number, since 2 + 5 + 3 + 7 + 640 + 0 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 95004009 + 158760000 = 9747^2 + 12600^2 .

It is not a de Polignac number, because 253764009 - 2¹⁵ = 253731241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (253764029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10392 + ... + 24809.

It is an arithmetic number, because the mean of its divisors is an integer number (19167489).

Almost surely, 2^253764009 is an apocalyptic number.

It is an amenable number.

253764009 is a deficient number, since it is larger than the sum of its proper divisors (129585771).

253764009 is an equidigital number, since it uses as much as digits as its factorization.

253764009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35302 (or 35293 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 253764009 is about 15929.9720338738. The cubic root of 253764009 is about 633.1063588942.

The spelling of 253764009 in words is "two hundred fifty-three million, seven hundred sixty-four thousand, nine".