11257856904529 has 9 divisors (see below), whose sum is σ = 11959098896017. Its totient is φ = 10595576343424.

The previous prime is 11257856904517. The next prime is 11257856904533. The reversal of 11257856904529 is 92540965875211.

The square root of 11257856904529 is 3355273.

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 4880454180625 + 6377402723904 = 2209175^2 + 2525352^2 .

It is not a de Polignac number, because 11257856904529 - 2²¹ = 11257854807377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11257856904629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 56940957 + ... + 57138325.

Almost surely, 2^{11257856904529} is an apocalyptic number.

11257856904529 is the 3355273-rd square number.

11257856904529 is the 1677637-th centered octagonal number.

It is an amenable number.

11257856904529 is a deficient number, since it is larger than the sum of its proper divisors (701241991488).

11257856904529 is an frugal number, since it uses more digits than its factorization.

11257856904529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394772 (or 197386 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 64.

Multiplying 11257856904529 by its sum of digits (64), we get a square (720502841889856 = 26842184²).

The spelling of 11257856904529 in words is "eleven trillion, two hundred fifty-seven billion, eight hundred fifty-six million, nine hundred four thousand, five hundred twenty-nine".