513015552000 has 1536 divisors, whose sum is σ = 2266635571200. Its totient is φ = 111919104000.

The previous prime is 513015551989. The next prime is 513015552029. The reversal of 513015552000 is 255510315.

513015552000 is a `hidden beast` number, since 5 + 130 + 1 + 5 + 5 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1112831770 + ... + 1112832230.

It is an arithmetic number, because the mean of its divisors is an integer number (1475674200).

Almost surely, 2^513015552000 is an apocalyptic number.

513015552000 is a gapful number since it is divisible by the number (50) 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 513015552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133317785600).

513015552000 is an abundant number, since it is smaller than the sum of its proper divisors (1753620019200).

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

513015552000 is a wasteful number, since it uses less digits than its factorization.

513015552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The spelling of 513015552000 in words is "five hundred thirteen billion, fifteen million, five hundred fifty-two thousand".