513354055532463 has 32 divisors (see below), whose sum is σ = 779077058262720. Its totient is φ = 333887465387520.

The previous prime is 513354055532441. The next prime is 513354055532489. The reversal of 513354055532463 is 364235550453315.

513354055532463 is a `hidden beast` number, since 5 + 1 + 3 + 3 + 5 + 4 + 0 + 5 + 553 + 24 + 63 = 666.

It is not a de Polignac number, because 513354055532463 - 2⁸ = 513354055532207 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513354055522463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 323312181 + ... + 324896097.

It is an arithmetic number, because the mean of its divisors is an integer number (24346158070710).

Almost surely, 2^{513354055532463} is an apocalyptic number.

513354055532463 is a deficient number, since it is larger than the sum of its proper divisors (265723002730257).

513354055532463 is a wasteful number, since it uses less digits than its factorization.

513354055532463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876744 (or 1876738 counting only the distinct ones).

The product of its (nonzero) digits is 48600000, while the sum is 54.

The spelling of 513354055532463 in words is "five hundred thirteen trillion, three hundred fifty-four billion, fifty-five million, five hundred thirty-two thousand, four hundred sixty-three".