513153063441 has 12 divisors (see below), whose sum is σ = 742377451140. Its totient is φ = 341568337920.

The previous prime is 513153063413. The next prime is 513153063497. The reversal of 513153063441 is 144360351315.

513153063441 is a `hidden beast` number, since 5 + 1 + 3 + 1 + 5 + 306 + 344 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 409932867600 + 103220195841 = 640260^2 + 321279^2 .

It is not a de Polignac number, because 513153063441 - 2⁶ = 513153063377 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 513153063396 and 513153063405.

It is not an unprimeable number, because it can be changed into a prime (513153063041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44469276 + ... + 44480813.

It is an arithmetic number, because the mean of its divisors is an integer number (61864787595).

Almost surely, 2^513153063441 is an apocalyptic number.

It is an amenable number.

513153063441 is a deficient number, since it is larger than the sum of its proper divisors (229224387699).

513153063441 is a wasteful number, since it uses less digits than its factorization.

513153063441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88950736 (or 88950733 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 513153063441 in words is "five hundred thirteen billion, one hundred fifty-three million, sixty-three thousand, four hundred forty-one".