257046727374013 has 8 divisors (see below), whose sum is σ = 259592159810016. Its totient is φ = 254501303082000.

The previous prime is 257046727374007. The next prime is 257046727374023. The reversal of 257046727374013 is 310473727640752.

257046727374013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-257046727374013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257046727374023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76221670 + ... + 79522552.

It is an arithmetic number, because the mean of its divisors is an integer number (32449019976252).

Almost surely, 2^{257046727374013} is an apocalyptic number.

It is an amenable number.

257046727374013 is a deficient number, since it is larger than the sum of its proper divisors (2545432436003).

257046727374013 is a wasteful number, since it uses less digits than its factorization.

257046727374013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4071995.

The product of its (nonzero) digits is 41489280, while the sum is 58.

The spelling of 257046727374013 in words is "two hundred fifty-seven trillion, forty-six billion, seven hundred twenty-seven million, three hundred seventy-four thousand, thirteen".