513340040000 has 70 divisors (see below), whose sum is σ = 1272916562874. Its totient is φ = 205336000000.

The previous prime is 513340039973. The next prime is 513340040027. The reversal of 513340040000 is 40043315.

It is an interprime number because it is at equal distance from previous prime (513340039973) and next prime (513340040027).

It can be written as a sum of positive squares in 5 ways, for example, as 61099929856 + 452240110144 = 247184^2 + 672488^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6376751 + ... + 6456750.

Almost surely, 2^513340040000 is an apocalyptic number.

513340040000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

513340040000 is an abundant number, since it is smaller than the sum of its proper divisors (759576522874).

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

513340040000 is an equidigital number, since it uses as much as digits as its factorization.

513340040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12833533 (or 12833508 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 513340040000 its reverse (40043315), we get a palindrome (513380083315).

The spelling of 513340040000 in words is "five hundred thirteen billion, three hundred forty million, forty thousand".