257604551 has 2 divisors, whose sum is σ = 257604552. Its totient is φ = 257604550.

The previous prime is 257604541. The next prime is 257604559. The reversal of 257604551 is 155406752.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 257604551 - 2¹⁰ = 257603527 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257604559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128802275 + 128802276.

It is an arithmetic number, because the mean of its divisors is an integer number (128802276).

Almost surely, 2^257604551 is an apocalyptic number.

257604551 is a deficient number, since it is larger than the sum of its proper divisors (1).

257604551 is an equidigital number, since it uses as much as digits as its factorization.

257604551 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42000, while the sum is 35.

The square root of 257604551 is about 16050.0638939538. The cubic root of 257604551 is about 636.2842556401.

The spelling of 257604551 in words is "two hundred fifty-seven million, six hundred four thousand, five hundred fifty-one".