257013723 has 8 divisors (see below), whose sum is σ = 342784000. Its totient is φ = 171292968.

The previous prime is 257013697. The next prime is 257013739. The reversal of 257013723 is 327310752.

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

It is not a de Polignac number, because 257013723 - 2²⁰ = 255965147 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257011723) 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 7 ways as a sum of consecutive naturals, for example, 2178 + ... + 22776.

It is an arithmetic number, because the mean of its divisors is an integer number (42848000).

Almost surely, 2^257013723 is an apocalyptic number.

257013723 is a deficient number, since it is larger than the sum of its proper divisors (85770277).

257013723 is a wasteful number, since it uses less digits than its factorization.

257013723 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24761.

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 257013723 is about 16031.6475447784. The cubic root of 257013723 is about 635.7974341052.

The spelling of 257013723 in words is "two hundred fifty-seven million, thirteen thousand, seven hundred twenty-three".