257123461 has 8 divisors (see below), whose sum is σ = 296602560. Its totient is φ = 218331168.

The previous prime is 257123431. The next prime is 257123467. The reversal of 257123461 is 164321752.

257123461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 257123461 - 2¹³ = 257115269 is a prime.

It is a super-2 number, since 2×257123461² = 132224948393237042, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257123467) 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, 170896 + ... + 172393.

It is an arithmetic number, because the mean of its divisors is an integer number (37075320).

Almost surely, 2^257123461 is an apocalyptic number.

It is an amenable number.

257123461 is a deficient number, since it is larger than the sum of its proper divisors (39479099).

257123461 is a wasteful number, since it uses less digits than its factorization.

257123461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343403.

The product of its digits is 10080, while the sum is 31.

The square root of 257123461 is about 16035.0697223305. The cubic root of 257123461 is about 635.8879107410.

The spelling of 257123461 in words is "two hundred fifty-seven million, one hundred twenty-three thousand, four hundred sixty-one".