257011020 has 72 divisors (see below), whose sum is σ = 890975904. Its totient is φ = 58745088.

The previous prime is 257011019. The next prime is 257011033. The reversal of 257011020 is 20110752.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 257010984 and 257011002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100729 + ... + 103248.

Almost surely, 2^257011020 is an apocalyptic number.

257011020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257011020 is an abundant number, since it is smaller than the sum of its proper divisors (633964884).

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

257011020 is a wasteful number, since it uses less digits than its factorization.

257011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203999 (or 203994 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 257011020 is about 16031.5632425537. The cubic root of 257011020 is about 635.7952052145.

Adding to 257011020 its reverse (20110752), we get a palindrome (277121772).

The spelling of 257011020 in words is "two hundred fifty-seven million, eleven thousand, twenty".