513474272064 has 336 divisors, whose sum is σ = 1678702142208. Its totient is φ = 154627688448.

The previous prime is 513474272039. The next prime is 513474272141. The reversal of 513474272064 is 460272474315.

513474272064 is a `hidden beast` number, since 5 + 13 + 4 + 7 + 427 + 206 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9475254 + ... + 9529290.

It is an arithmetic number, because the mean of its divisors is an integer number (4996137328).

Almost surely, 2^513474272064 is an apocalyptic number.

513474272064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513474272064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839351071104).

513474272064 is an abundant number, since it is smaller than the sum of its proper divisors (1165227870144).

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

513474272064 is a wasteful number, since it uses less digits than its factorization.

513474272064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54124 (or 54102 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 513474272064 in words is "five hundred thirteen billion, four hundred seventy-four million, two hundred seventy-two thousand, sixty-four".