513240515040 has 384 divisors, whose sum is σ = 1793055398400. Its totient is φ = 122364887040.

The previous prime is 513240515017. The next prime is 513240515089. The reversal of 513240515040 is 40515042315.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 513240514989 and 513240515007.

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, 90691731 + ... + 90697389.

It is an arithmetic number, because the mean of its divisors is an integer number (4669415100).

Almost surely, 2^513240515040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513240515040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896527699200).

513240515040 is an abundant number, since it is smaller than the sum of its proper divisors (1279814883360).

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

513240515040 is a wasteful number, since it uses less digits than its factorization.

513240515040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5970 (or 5962 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 513240515040 its reverse (40515042315), we get a palindrome (553755557355).

The spelling of 513240515040 in words is "five hundred thirteen billion, two hundred forty million, five hundred fifteen thousand, forty".