257072431 has 8 divisors (see below), whose sum is σ = 320505984. Its totient is φ = 200316120.

The previous prime is 257072383. The next prime is 257072441. The reversal of 257072431 is 134270752.

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 257072431 - 2¹⁷ = 256941359 is a prime.

It is a super-2 number, since 2×257072431² = 132172469560499522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 257072393 and 257072402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257072441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1669225 + ... + 1669378.

It is an arithmetic number, because the mean of its divisors is an integer number (40063248).

Almost surely, 2^257072431 is an apocalyptic number.

257072431 is a deficient number, since it is larger than the sum of its proper divisors (63433553).

257072431 is a wasteful number, since it uses less digits than its factorization.

257072431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3338621.

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 257072431 is about 16033.4784435568. The cubic root of 257072431 is about 635.8458407994.

The spelling of 257072431 in words is "two hundred fifty-seven million, seventy-two thousand, four hundred thirty-one".