513211552542240 has 96 divisors (see below), whose sum is σ = 1631447733706560. Its totient is φ = 135600850566144.

The previous prime is 513211552542239. The next prime is 513211552542277. The reversal of 513211552542240 is 42245255112315.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 513211552542192 and 513211552542201.

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 15 ways as a sum of consecutive naturals, for example, 4904492334 + ... + 4904596973.

It is an arithmetic number, because the mean of its divisors is an integer number (16994247226110).

Almost surely, 2^{513211552542240} is an apocalyptic number.

It is an amenable number.

513211552542240 is an abundant number, since it is smaller than the sum of its proper divisors (1118236181164320).

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

513211552542240 is a wasteful number, since it uses less digits than its factorization.

513211552542240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9809089434 (or 9809089426 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 42.

The spelling of 513211552542240 in words is "five hundred thirteen trillion, two hundred eleven billion, five hundred fifty-two million, five hundred forty-two thousand, two hundred forty".