257261351620444 has 48 divisors (see below), whose sum is σ = 460969856633440. Its totient is φ = 125559491178240.

The previous prime is 257261351620433. The next prime is 257261351620463. The reversal of 257261351620444 is 444026153162752.

It is a junction number, because it is equal to n+sod(n) for n = 257261351620391 and 257261351620400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3875960842 + ... + 3876027214.

Almost surely, 2^{257261351620444} is an apocalyptic number.

It is an amenable number.

257261351620444 is a deficient number, since it is larger than the sum of its proper divisors (203708505012996).

257261351620444 is a wasteful number, since it uses less digits than its factorization.

257261351620444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80390 (or 80388 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 52.

The spelling of 257261351620444 in words is "two hundred fifty-seven trillion, two hundred sixty-one billion, three hundred fifty-one million, six hundred twenty thousand, four hundred forty-four".