257057015073354 has 16 divisors (see below), whose sum is σ = 571237811274240. Its totient is φ = 85685671691100.

The previous prime is 257057015073347. The next prime is 257057015073359. The reversal of 257057015073354 is 453370510750752.

257057015073354 is a `hidden beast` number, since 2 + 5 + 7 + 0 + 5 + 70 + 150 + 73 + 354 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54), and also a Moran number because the ratio is a prime number: 4760315093951 = 257057015073354 / (2 + 5 + 7 + 0 + 5 + 7 + 0 + 1 + 5 + 0 + 7 + 3 + 3 + 5 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 257057015073354.

It is not an unprimeable number, because it can be changed into a prime (257057015073359) 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, 2380157546922 + ... + 2380157547029.

It is an arithmetic number, because the mean of its divisors is an integer number (35702363204640).

Almost surely, 2^{257057015073354} is an apocalyptic number.

257057015073354 is an abundant number, since it is smaller than the sum of its proper divisors (314180796200886).

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

257057015073354 is a wasteful number, since it uses less digits than its factorization.

257057015073354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4760315093962 (or 4760315093956 counting only the distinct ones).

The product of its (nonzero) digits is 15435000, while the sum is 54.

The spelling of 257057015073354 in words is "two hundred fifty-seven trillion, fifty-seven billion, fifteen million, seventy-three thousand, three hundred fifty-four".