257515336111753 has 2 divisors, whose sum is σ = 257515336111754. Its totient is φ = 257515336111752.

The previous prime is 257515336111721. The next prime is 257515336111777. The reversal of 257515336111753 is 357111633515752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 250701210601209 + 6814125510544 = 15833547^2 + 2610388^2 .

It is a cyclic number.

It is not a de Polignac number, because 257515336111753 - 2⁵ = 257515336111721 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257515336111694 and 257515336111703.

It is not a weakly prime, because it can be changed into another prime (257515336151753) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128757668055876 + 128757668055877.

It is an arithmetic number, because the mean of its divisors is an integer number (128757668055877).

Almost surely, 2^{257515336111753} is an apocalyptic number.

It is an amenable number.

257515336111753 is a deficient number, since it is larger than the sum of its proper divisors (1).

257515336111753 is an equidigital number, since it uses as much as digits as its factorization.

257515336111753 is an evil number, because the sum of its binary digits is even.

The product of its digits is 9922500, while the sum is 55.

The spelling of 257515336111753 in words is "two hundred fifty-seven trillion, five hundred fifteen billion, three hundred thirty-six million, one hundred eleven thousand, seven hundred fifty-three".