257010652181 has 2 divisors, whose sum is σ = 257010652182. Its totient is φ = 257010652180.

The previous prime is 257010652159. The next prime is 257010652201. The reversal of 257010652181 is 181256010752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 135983200081 + 121027452100 = 368759^2 + 347890^2 .

It is a cyclic number.

It is not a de Polignac number, because 257010652181 - 2¹⁴ = 257010635797 is a prime.

It is a super-2 number, since 2×257010652181² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257010652681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128505326090 + 128505326091.

It is an arithmetic number, because the mean of its divisors is an integer number (128505326091).

Almost surely, 2^257010652181 is an apocalyptic number.

It is an amenable number.

257010652181 is a deficient number, since it is larger than the sum of its proper divisors (1).

257010652181 is an equidigital number, since it uses as much as digits as its factorization.

257010652181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 33600, while the sum is 38.

The spelling of 257010652181 in words is "two hundred fifty-seven billion, ten million, six hundred fifty-two thousand, one hundred eighty-one".