257653723 has 8 divisors (see below), whose sum is σ = 263076336. Its totient is φ = 252252000.

The previous prime is 257653703. The next prime is 257653757. The reversal of 257653723 is 327356752.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 257653723 - 2⁹ = 257653211 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257653703) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21073 + ... + 30973.

It is an arithmetic number, because the mean of its divisors is an integer number (32884542).

Almost surely, 2^257653723 is an apocalyptic number.

257653723 is a deficient number, since it is larger than the sum of its proper divisors (5422613).

257653723 is an equidigital number, since it uses as much as digits as its factorization.

257653723 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10445.

The product of its digits is 264600, while the sum is 40.

The square root of 257653723 is about 16051.5956527692. The cubic root of 257653723 is about 636.3247380757.

The spelling of 257653723 in words is "two hundred fifty-seven million, six hundred fifty-three thousand, seven hundred twenty-three".