257506530140 has 48 divisors (see below), whose sum is σ = 550765353600. Its totient is φ = 101102847552.

The previous prime is 257506530119. The next prime is 257506530143. The reversal of 257506530140 is 41035605752.

It is a happy number.

It is a super-2 number, since 2×257506530140² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 257506530094 and 257506530103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257506530143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 612047 + ... + 943193.

It is an arithmetic number, because the mean of its divisors is an integer number (11474278200).

Almost surely, 2^257506530140 is an apocalyptic number.

257506530140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257506530140 is an abundant number, since it is smaller than the sum of its proper divisors (293258823460).

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

257506530140 is a wasteful number, since it uses less digits than its factorization.

257506530140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331874 (or 331872 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 38.

The spelling of 257506530140 in words is "two hundred fifty-seven billion, five hundred six million, five hundred thirty thousand, one hundred forty".