253104561 has 16 divisors (see below), whose sum is σ = 375265920. Its totient is φ = 168603120.

The previous prime is 253104559. The next prime is 253104569. The reversal of 253104561 is 165401352.

It is not a de Polignac number, because 253104561 - 2¹ = 253104559 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (253104569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40876 + ... + 46658.

It is an arithmetic number, because the mean of its divisors is an integer number (23454120).

Almost surely, 2^253104561 is an apocalyptic number.

It is an amenable number.

253104561 is a deficient number, since it is larger than the sum of its proper divisors (122161359).

253104561 is a wasteful number, since it uses less digits than its factorization.

253104561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7413 (or 7407 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 253104561 is about 15909.2602279301. The cubic root of 253104561 is about 632.5574724240.

The spelling of 253104561 in words is "two hundred fifty-three million, one hundred four thousand, five hundred sixty-one".