257187116753 has 16 divisors (see below), whose sum is σ = 296080202880. Its totient is φ = 218832451200.

The previous prime is 257187116729. The next prime is 257187116819. The reversal of 257187116753 is 357611781752.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 257187116753 - 2⁸ = 257187116497 is a prime.

It is a super-2 number, since 2×257187116753² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 257187116695 and 257187116704.

It is not an unprimeable number, because it can be changed into a prime (257187110753) 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, 12425573 + ... + 12446253.

It is an arithmetic number, because the mean of its divisors is an integer number (18505012680).

Almost surely, 2^257187116753 is an apocalyptic number.

It is an amenable number.

257187116753 is a deficient number, since it is larger than the sum of its proper divisors (38893086127).

257187116753 is a wasteful number, since it uses less digits than its factorization.

257187116753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33608.

The product of its digits is 2469600, while the sum is 53.

The spelling of 257187116753 in words is "two hundred fifty-seven billion, one hundred eighty-seven million, one hundred sixteen thousand, seven hundred fifty-three".