513148259832 has 128 divisors (see below), whose sum is σ = 1436532572160. Its totient is φ = 151682780160.

The previous prime is 513148259783. The next prime is 513148259873. The reversal of 513148259832 is 238952841315.

It is a super-2 number, since 2×513148259832² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1131433 + ... + 1518695.

It is an arithmetic number, because the mean of its divisors is an integer number (11222910720).

Almost surely, 2^513148259832 is an apocalyptic number.

513148259832 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513148259832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718266286080).

513148259832 is an abundant number, since it is smaller than the sum of its proper divisors (923384312328).

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

513148259832 is a wasteful number, since it uses less digits than its factorization.

513148259832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387453 (or 387449 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 51.

The spelling of 513148259832 in words is "five hundred thirteen billion, one hundred forty-eight million, two hundred fifty-nine thousand, eight hundred thirty-two".