513431130631563 has 28 divisors (see below), whose sum is σ = 770378169662640. Its totient is φ = 342027914533776.

The previous prime is 513431130631541. The next prime is 513431130631579. The reversal of 513431130631563 is 365136031134315.

513431130631563 is a `hidden beast` number, since 5 + 1 + 3 + 4 + 3 + 1 + 1 + 3 + 0 + 631 + 5 + 6 + 3 = 666.

It is not a de Polignac number, because 513431130631563 - 2⁴⁶ = 443062386453899 is a prime.

It is a super-2 number, since 2×513431130631563² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (513431130630563) 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 27 ways as a sum of consecutive naturals, for example, 266019156 + ... + 267942257.

It is an arithmetic number, because the mean of its divisors is an integer number (27513506059380).

Almost surely, 2^{513431130631563} is an apocalyptic number.

513431130631563 is a deficient number, since it is larger than the sum of its proper divisors (256947039031077).

513431130631563 is an equidigital number, since it uses as much as digits as its factorization.

513431130631563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533962750 (or 533962735 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

Adding to 513431130631563 its reverse (365136031134315), we get a palindrome (878567161765878).

The spelling of 513431130631563 in words is "five hundred thirteen trillion, four hundred thirty-one billion, one hundred thirty million, six hundred thirty-one thousand, five hundred sixty-three".