257131146655011 has 64 divisors (see below), whose sum is σ = 362223580446720. Its totient is φ = 161930648880000.

The previous prime is 257131146655003. The next prime is 257131146655049. The reversal of 257131146655011 is 110556641131752.

It is a happy number.

It is not a de Polignac number, because 257131146655011 - 2³ = 257131146655003 is a prime.

It is a super-2 number, since 2×257131146655011² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (257131146655811) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2002686405 + ... + 2002814793.

It is an arithmetic number, because the mean of its divisors is an integer number (5659743444480).

Almost surely, 2^{257131146655011} is an apocalyptic number.

257131146655011 is a deficient number, since it is larger than the sum of its proper divisors (105092433791709).

257131146655011 is a wasteful number, since it uses less digits than its factorization.

257131146655011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129688.

The product of its (nonzero) digits is 756000, while the sum is 48.

Adding to 257131146655011 its reverse (110556641131752), we get a palindrome (367687787786763).

The spelling of 257131146655011 in words is "two hundred fifty-seven trillion, one hundred thirty-one billion, one hundred forty-six million, six hundred fifty-five thousand, eleven".