513535450656 has 24 divisors (see below), whose sum is σ = 1348030558224. Its totient is φ = 171178483520.

The previous prime is 513535450643. The next prime is 513535450711. The reversal of 513535450656 is 656054535315.

513535450656 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×513535450656² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2674663710 + ... + 2674663901.

It is an arithmetic number, because the mean of its divisors is an integer number (56167939926).

Almost surely, 2^513535450656 is an apocalyptic number.

It is an amenable number.

513535450656 is an abundant number, since it is smaller than the sum of its proper divisors (834495107568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513535450656 is a wasteful number, since it uses less digits than its factorization.

513535450656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5349327624 (or 5349327616 counting only the distinct ones).

The product of its (nonzero) digits is 4050000, while the sum is 48.

The spelling of 513535450656 in words is "five hundred thirteen billion, five hundred thirty-five million, four hundred fifty thousand, six hundred fifty-six".