250657431649 has 9 divisors (see below), whose sum is σ = 253214842521. Its totient is φ = 248125609200.

The previous prime is 250657431457. The next prime is 250657431653. The reversal of 250657431649 is 946134756052.

The square root of 250657431649 is 500657.

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 170812757025 + 79844674624 = 413295^2 + 282568^2 .

It is a de Polignac number, because none of the positive numbers 2^k-250657431649 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 250657431596 and 250657431605.

It is not an unprimeable number, because it can be changed into a prime (250657431149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 50563879 + ... + 50568835.

Almost surely, 2^250657431649 is an apocalyptic number.

250657431649 is the 500657-th square number.

250657431649 is the 250329-th centered octagonal number.

It is an amenable number.

250657431649 is a deficient number, since it is larger than the sum of its proper divisors (2557410872).

250657431649 is an frugal number, since it uses more digits than its factorization.

250657431649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10116 (or 5058 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 52.

The spelling of 250657431649 in words is "two hundred fifty billion, six hundred fifty-seven million, four hundred thirty-one thousand, six hundred forty-nine".