257057072761310 has 32 divisors (see below), whose sum is σ = 468835862667840. Its totient is φ = 101467857996288.

The previous prime is 257057072761289. The next prime is 257057072761367. The reversal of 257057072761310 is 13167270750752.

It is a happy number.

257057072761310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×257057072761310² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 496431482 + ... + 496949021.

It is an arithmetic number, because the mean of its divisors is an integer number (14651120708370).

Almost surely, 2^{257057072761310} is an apocalyptic number.

257057072761310 is a deficient number, since it is larger than the sum of its proper divisors (211778789906530).

257057072761310 is a wasteful number, since it uses less digits than its factorization.

257057072761310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993380852.

The product of its (nonzero) digits is 4321800, while the sum is 53.

The spelling of 257057072761310 in words is "two hundred fifty-seven trillion, fifty-seven billion, seventy-two million, seven hundred sixty-one thousand, three hundred ten".