513540121152 has 84 divisors (see below), whose sum is σ = 1364432524368. Its totient is φ = 170466048000.

The previous prime is 513540121139. The next prime is 513540121181. The reversal of 513540121152 is 251121045315.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11128527 + ... + 11174577.

Almost surely, 2^513540121152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513540121152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682216262184).

513540121152 is an abundant number, since it is smaller than the sum of its proper divisors (850892403216).

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

513540121152 is an equidigital number, since it uses as much as digits as its factorization.

513540121152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46548 (or 46297 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

Adding to 513540121152 its reverse (251121045315), we get a palindrome (764661166467).

The spelling of 513540121152 in words is "five hundred thirteen billion, five hundred forty million, one hundred twenty-one thousand, one hundred fifty-two".