257148103051 has 16 divisors (see below), whose sum is σ = 313620996096. Its totient is φ = 205813754496.

The previous prime is 257148103039. The next prime is 257148103109. The reversal of 257148103051 is 150301841752.

It is not a de Polignac number, because 257148103051 - 2¹⁷ = 257147971979 is a prime.

It is a super-2 number, since 2×257148103051² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 257148103051.

It is not an unprimeable number, because it can be changed into a prime (257148103021) 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, 8492401 + ... + 8522626.

It is an arithmetic number, because the mean of its divisors is an integer number (19601312256).

Almost surely, 2^257148103051 is an apocalyptic number.

257148103051 is a deficient number, since it is larger than the sum of its proper divisors (56472893045).

257148103051 is a wasteful number, since it uses less digits than its factorization.

257148103051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17015178.

The product of its (nonzero) digits is 33600, while the sum is 37.

The spelling of 257148103051 in words is "two hundred fifty-seven billion, one hundred forty-eight million, one hundred three thousand, fifty-one".