513540513202440 has 64 divisors (see below), whose sum is σ = 1540866046167360. Its totient is φ = 136922402937600.

The previous prime is 513540513202363. The next prime is 513540513202441. The reversal of 513540513202440 is 44202315045315.

It is not an unprimeable number, because it can be changed into a prime (513540513202441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338833174 + ... + 340345413.

It is an arithmetic number, because the mean of its divisors is an integer number (24076031971365).

Almost surely, 2^{513540513202440} is an apocalyptic number.

It is an amenable number.

513540513202440 is an abundant number, since it is smaller than the sum of its proper divisors (1027325532964920).

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

513540513202440 is a wasteful number, since it uses less digits than its factorization.

513540513202440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679184902 (or 679184898 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

Adding to 513540513202440 its reverse (44202315045315), we get a palindrome (557742828247755).

The spelling of 513540513202440 in words is "five hundred thirteen trillion, five hundred forty billion, five hundred thirteen million, two hundred two thousand, four hundred forty".