257703543042 has 32 divisors (see below), whose sum is σ = 565403431680. Its totient is φ = 77655711120.

The previous prime is 257703543017. The next prime is 257703543047. The reversal of 257703543042 is 240345307752.

257703543042 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×257703543042² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 257703542985 and 257703543003.

It is not an unprimeable number, because it can be changed into a prime (257703543047) 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, 10894888 + ... + 10918515.

It is an arithmetic number, because the mean of its divisors is an integer number (17668857240).

Almost surely, 2^257703543042 is an apocalyptic number.

257703543042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

257703543042 is an abundant number, since it is smaller than the sum of its proper divisors (307699888638).

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

257703543042 is a wasteful number, since it uses less digits than its factorization.

257703543042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21813598.

The product of its (nonzero) digits is 705600, while the sum is 42.

It can be divided in two parts, 257703 and 543042, that added together give a triangular number (800745 = T₁₂₆₅).

The spelling of 257703543042 in words is "two hundred fifty-seven billion, seven hundred three million, five hundred forty-three thousand, forty-two".