513511205510240 has 96 divisors (see below), whose sum is σ = 1386484433316864. Its totient is φ = 176060454151680.

The previous prime is 513511205510227. The next prime is 513511205510243. The reversal of 513511205510240 is 42015502115315.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 513511205510240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513511205510243) 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, 619715405 + ... + 620543475.

It is an arithmetic number, because the mean of its divisors is an integer number (14442546180384).

Almost surely, 2^{513511205510240} is an apocalyptic number.

It is an amenable number.

513511205510240 is an abundant number, since it is smaller than the sum of its proper divisors (872973227806624).

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

513511205510240 is a wasteful number, since it uses less digits than its factorization.

513511205510240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381780 (or 1381772 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 35.

Adding to 513511205510240 its reverse (42015502115315), we get a palindrome (555526707625555).

The spelling of 513511205510240 in words is "five hundred thirteen trillion, five hundred eleven billion, two hundred five million, five hundred ten thousand, two hundred forty".