257511042 has 32 divisors (see below), whose sum is σ = 576768000. Its totient is φ = 85158864.

The previous prime is 257511031. The next prime is 257511043. The reversal of 257511042 is 240115752.

257511042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 257510997 and 257511015.

It is not an unprimeable number, because it can be changed into a prime (257511043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11917 + ... + 25632.

It is an arithmetic number, because the mean of its divisors is an integer number (18024000).

Almost surely, 2^257511042 is an apocalyptic number.

257511042 is an abundant number, since it is smaller than the sum of its proper divisors (319256958).

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

257511042 is a wasteful number, since it uses less digits than its factorization.

257511042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37687 (or 37681 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 257511042 is about 16047.1505881885. The cubic root of 257511042 is about 636.2072571232.

Adding to 257511042 its reverse (240115752), we get a palindrome (497626794).

The spelling of 257511042 in words is "two hundred fifty-seven million, five hundred eleven thousand, forty-two".