250781841504649 has 81 divisors (see below), whose sum is σ = 319236345388629. Its totient is φ = 196342215451200.

The previous prime is 250781841504631. The next prime is 250781841504709. The reversal of 250781841504649 is 946405148187052.

The square root of 250781841504649 is 15836093.

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 9459038558025 + 241322802946624 = 3075555^2 + 15534568^2 .

It is not a de Polignac number, because 250781841504649 - 2¹³ = 250781841496457 is a prime.

It is a super-2 number, since 2×250781841504649² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (250781841507649) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 145549529902 + ... + 145549531624.

Almost surely, 2^{250781841504649} is an apocalyptic number.

250781841504649 is the 15836093-rd square number.

250781841504649 is the 7918047-th centered octagonal number.

It is an amenable number.

250781841504649 is a deficient number, since it is larger than the sum of its proper divisors (68454503883980).

250781841504649 is an frugal number, since it uses more digits than its factorization.

250781841504649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3688 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 64.

The spelling of 250781841504649 in words is "two hundred fifty trillion, seven hundred eighty-one billion, eight hundred forty-one million, five hundred four thousand, six hundred forty-nine".