257046101203001 has 16 divisors (see below), whose sum is σ = 297931178453760. Its totient is φ = 219310450768080.

The previous prime is 257046101202983. The next prime is 257046101203013. The reversal of 257046101203001 is 100302101640752.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257046101203001 is a prime.

It is a super-2 number, since 2×257046101203001² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257046101203051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5747106851 + ... + 5747151576.

It is an arithmetic number, because the mean of its divisors is an integer number (18620698653360).

Almost surely, 2^{257046101203001} is an apocalyptic number.

It is an amenable number.

257046101203001 is a deficient number, since it is larger than the sum of its proper divisors (40885077250759).

257046101203001 is a wasteful number, since it uses less digits than its factorization.

257046101203001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11494258564.

The product of its (nonzero) digits is 10080, while the sum is 32.

Adding to 257046101203001 its reverse (100302101640752), we get a palindrome (357348202843753).

The spelling of 257046101203001 in words is "two hundred fifty-seven trillion, forty-six billion, one hundred one million, two hundred three thousand, one".