257981629 has 2 divisors, whose sum is σ = 257981630. Its totient is φ = 257981628.

The previous prime is 257981623. The next prime is 257981671. The reversal of 257981629 is 926189752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 199459129 + 58522500 = 14123^2 + 7650^2 .

It is a cyclic number.

It is not a de Polignac number, because 257981629 - 2¹³ = 257973437 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257981623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128990814 + 128990815.

It is an arithmetic number, because the mean of its divisors is an integer number (128990815).

Almost surely, 2^257981629 is an apocalyptic number.

It is an amenable number.

257981629 is a deficient number, since it is larger than the sum of its proper divisors (1).

257981629 is an equidigital number, since it uses as much as digits as its factorization.

257981629 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 544320, while the sum is 49.

The square root of 257981629 is about 16061.8065297774. The cubic root of 257981629 is about 636.5945656619.

The spelling of 257981629 in words is "two hundred fifty-seven million, nine hundred eighty-one thousand, six hundred twenty-nine".