257484190041 has 45 divisors (see below), whose sum is σ = 416596342701. Its totient is φ = 158415274368.

The previous prime is 257484190027. The next prime is 257484190079. The reversal of 257484190041 is 140091484752.

The square root of 257484190041 is 507429.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 197821242441 + 59662947600 = 444771^2 + 244260^2 .

It is not a de Polignac number, because 257484190041 - 2¹¹ = 257484187993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257484190021) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 59367025 + ... + 59371361.

Almost surely, 2^257484190041 is an apocalyptic number.

257484190041 is the 507429-th square number.

257484190041 is the 253715-th centered octagonal number.

It is an amenable number.

257484190041 is a deficient number, since it is larger than the sum of its proper divisors (159112152660).

257484190041 is an frugal number, since it uses more digits than its factorization.

257484190041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8712 (or 4353 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 257484190041 in words is "two hundred fifty-seven billion, four hundred eighty-four million, one hundred ninety thousand, forty-one".