257520829 has 2 divisors, whose sum is σ = 257520830. Its totient is φ = 257520828.

The previous prime is 257520817. The next prime is 257520883. The reversal of 257520829 is 928025752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 256864729 + 656100 = 16027^2 + 810^2 .

It is a cyclic number.

It is not a de Polignac number, because 257520829 - 2²⁵ = 223966397 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257520791 and 257520800.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257520229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128760414 + 128760415.

It is an arithmetic number, because the mean of its divisors is an integer number (128760415).

Almost surely, 2^257520829 is an apocalyptic number.

It is an amenable number.

257520829 is a deficient number, since it is larger than the sum of its proper divisors (1).

257520829 is an equidigital number, since it uses as much as digits as its factorization.

257520829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 100800, while the sum is 40.

The square root of 257520829 is about 16047.4555303948. The cubic root of 257520829 is about 636.2153169479.

The spelling of 257520829 in words is "two hundred fifty-seven million, five hundred twenty thousand, eight hundred twenty-nine".