257036441 has 2 divisors, whose sum is σ = 257036442. Its totient is φ = 257036440.

The previous prime is 257036359. The next prime is 257036449. The reversal of 257036441 is 144630752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 243235216 + 13801225 = 15596^2 + 3715^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257036441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257036398 and 257036407.

It is not a weakly prime, because it can be changed into another prime (257036449) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128518220 + 128518221.

It is an arithmetic number, because the mean of its divisors is an integer number (128518221).

Almost surely, 2^257036441 is an apocalyptic number.

It is an amenable number.

257036441 is a deficient number, since it is larger than the sum of its proper divisors (1).

257036441 is an equidigital number, since it uses as much as digits as its factorization.

257036441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 257036441 is about 16032.3560651577. The cubic root of 257036441 is about 635.8161667243.

The spelling of 257036441 in words is "two hundred fifty-seven million, thirty-six thousand, four hundred forty-one".