257604541 has 2 divisors, whose sum is σ = 257604542. Its totient is φ = 257604540.

The previous prime is 257604511. The next prime is 257604551. The reversal of 257604541 is 145406752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 214505316 + 43099225 = 14646^2 + 6565^2 .

It is a cyclic number.

It is not a de Polignac number, because 257604541 - 2¹¹ = 257602493 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257604497 and 257604506.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257604511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128802270 + 128802271.

It is an arithmetic number, because the mean of its divisors is an integer number (128802271).

Almost surely, 2^257604541 is an apocalyptic number.

It is an amenable number.

257604541 is a deficient number, since it is larger than the sum of its proper divisors (1).

257604541 is an equidigital number, since it uses as much as digits as its factorization.

257604541 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 34.

The square root of 257604541 is about 16050.0635824286. The cubic root of 257604541 is about 636.2842474068.

It can be divided in two parts, 25760 and 4541, that multiplied together give a triangular number (116976160 = T₁₅₂₉₅).

The spelling of 257604541 in words is "two hundred fifty-seven million, six hundred four thousand, five hundred forty-one".