513735075552 has 24 divisors (see below), whose sum is σ = 1348554573576. Its totient is φ = 171245025152.

The previous prime is 513735075551. The next prime is 513735075563. The reversal of 513735075552 is 255570537315.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513735075551) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2675703423 + ... + 2675703614.

It is an arithmetic number, because the mean of its divisors is an integer number (56189773899).

Almost surely, 2^513735075552 is an apocalyptic number.

It is an amenable number.

513735075552 is an abundant number, since it is smaller than the sum of its proper divisors (834819498024).

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

513735075552 is a wasteful number, since it uses less digits than its factorization.

513735075552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5351407050 (or 5351407042 counting only the distinct ones).

The product of its (nonzero) digits is 2756250, while the sum is 48.

The spelling of 513735075552 in words is "five hundred thirteen billion, seven hundred thirty-five million, seventy-five thousand, five hundred fifty-two".