5103446964561 has 135 divisors (see below), whose sum is σ = 8851355073099. Its totient is φ = 2927768976000.

The previous prime is 5103446964559. The next prime is 5103446964587. The reversal of 5103446964561 is 1654696443015.

The square root of 5103446964561 is 2259081.

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

5103446964561 is a `hidden beast` number, since 5 + 1 + 0 + 34 + 46 + 9 + 6 + 4 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8495124561 + 5094951840000 = 92169^2 + 2257200^2 .

It is not a de Polignac number, because 5103446964561 - 2¹ = 5103446964559 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5103446964498 and 5103446964507.

It is not an unprimeable number, because it can be changed into a prime (5103446964061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4249330761 + ... + 4249331961.

Almost surely, 2^{5103446964561} is an apocalyptic number.

5103446964561 is the 2259081-st square number.

5103446964561 is the 1129541-st centered octagonal number.

It is an amenable number.

5103446964561 is a deficient number, since it is larger than the sum of its proper divisors (3747908108538).

5103446964561 is an equidigital number, since it uses as much as digits as its factorization.

5103446964561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 5103446964561 in words is "five trillion, one hundred three billion, four hundred forty-six million, nine hundred sixty-four thousand, five hundred sixty-one".