257623542 has 48 divisors (see below), whose sum is σ = 644756112. Its totient is φ = 73474560.

The previous prime is 257623507. The next prime is 257623567. The reversal of 257623542 is 245326752.

257623542 is a `hidden beast` number, since 2 + 57 + 62 + 3 + 542 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 257623497 and 257623506.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 34903 + ... + 41634.

It is an arithmetic number, because the mean of its divisors is an integer number (13432419).

Almost surely, 2^257623542 is an apocalyptic number.

257623542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

257623542 is an abundant number, since it is smaller than the sum of its proper divisors (387132570).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257623542 is a wasteful number, since it uses less digits than its factorization.

257623542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76573 (or 76570 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 257623542 is about 16050.6555006330. The cubic root of 257623542 is about 636.2998912042.

The spelling of 257623542 in words is "two hundred fifty-seven million, six hundred twenty-three thousand, five hundred forty-two".