253753461 has 24 divisors (see below), whose sum is σ = 395301816. Its totient is φ = 155928960.

The previous prime is 253753439. The next prime is 253753477. The reversal of 253753461 is 164357352.

It can be written as a sum of positive squares in 4 ways, for example, as 3132900 + 250620561 = 1770^2 + 15831^2 .

It is not a de Polignac number, because 253753461 - 2⁵ = 253753429 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253753861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117451 + ... + 119591.

It is an arithmetic number, because the mean of its divisors is an integer number (16470909).

Almost surely, 2^253753461 is an apocalyptic number.

It is an amenable number.

253753461 is a deficient number, since it is larger than the sum of its proper divisors (141548355).

253753461 is a wasteful number, since it uses less digits than its factorization.

253753461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3173 (or 3170 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 253753461 is about 15929.6409564058. The cubic root of 253753461 is about 633.0975868355.

The spelling of 253753461 in words is "two hundred fifty-three million, seven hundred fifty-three thousand, four hundred sixty-one".