257223033 has 48 divisors (see below), whose sum is σ = 399759360. Its totient is φ = 165173904.

The previous prime is 257222957. The next prime is 257223091. The reversal of 257223033 is 330322752.

It is not a de Polignac number, because 257223033 - 2²¹ = 255125881 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 257222988 and 257223006.

It is not an unprimeable number, because it can be changed into a prime (257223233) 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 47 ways as a sum of consecutive naturals, for example, 1076128 + ... + 1076366.

It is an arithmetic number, because the mean of its divisors is an integer number (8328320).

Almost surely, 2^257223033 is an apocalyptic number.

It is an amenable number.

257223033 is a deficient number, since it is larger than the sum of its proper divisors (142536327).

257223033 is a wasteful number, since it uses less digits than its factorization.

257223033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 257223033 is about 16038.1742414777. The cubic root of 257223033 is about 635.9699834534.

Adding to 257223033 its reverse (330322752), we get a palindrome (587545785).

The spelling of 257223033 in words is "two hundred fifty-seven million, two hundred twenty-three thousand, thirty-three".