257180429 has 12 divisors (see below), whose sum is σ = 283219872. Its totient is φ = 231604800.

The previous prime is 257180393. The next prime is 257180449. The reversal of 257180429 is 924081752.

It is a de Polignac number, because none of the positive numbers 2^k-257180429 is a prime.

It is a super-2 number, since 2×257180429² = 132283546121248082, 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 = 257180392 and 257180401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257180449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139544 + ... + 141374.

It is an arithmetic number, because the mean of its divisors is an integer number (23601656).

Almost surely, 2^257180429 is an apocalyptic number.

It is an amenable number.

257180429 is a deficient number, since it is larger than the sum of its proper divisors (26039443).

257180429 is a wasteful number, since it uses less digits than its factorization.

257180429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 257180429 is about 16036.8459804289. The cubic root of 257180429 is about 635.9348694891.

The spelling of 257180429 in words is "two hundred fifty-seven million, one hundred eighty thousand, four hundred twenty-nine".