257116073 has 2 divisors, whose sum is σ = 257116074. Its totient is φ = 257116072.

The previous prime is 257116061. The next prime is 257116081. The reversal of 257116073 is 370611752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 251317609 + 5798464 = 15853^2 + 2408^2 .

It is a cyclic number.

It is not a de Polignac number, because 257116073 - 2⁶ = 257116009 is a prime.

It is a super-2 number, since 2×257116073² = 132217349989882658, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (257116973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128558036 + 128558037.

It is an arithmetic number, because the mean of its divisors is an integer number (128558037).

Almost surely, 2^257116073 is an apocalyptic number.

It is an amenable number.

257116073 is a deficient number, since it is larger than the sum of its proper divisors (1).

257116073 is an equidigital number, since it uses as much as digits as its factorization.

257116073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 257116073 is about 16034.8393506140. The cubic root of 257116073 is about 635.8818203012.

The spelling of 257116073 in words is "two hundred fifty-seven million, one hundred sixteen thousand, seventy-three".