513011004000 has 384 divisors, whose sum is σ = 1858558141440. Its totient is φ = 122660352000.

The previous prime is 513011003993. The next prime is 513011004083. The reversal of 513011004000 is 400110315.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9609381 + ... + 9662619.

It is an arithmetic number, because the mean of its divisors is an integer number (4839995160).

Almost surely, 2^513011004000 is an apocalyptic number.

513011004000 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 513011004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929279070720).

513011004000 is an abundant number, since it is smaller than the sum of its proper divisors (1345547137440).

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

513011004000 is a wasteful number, since it uses less digits than its factorization.

513011004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53351 (or 53333 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 513011004000 its reverse (400110315), we get a palindrome (513411114315).

The spelling of 513011004000 in words is "five hundred thirteen billion, eleven million, four thousand".