513165531648 has 1440 divisors, whose sum is σ = 1957894918848. Its totient is φ = 117669888000.

The previous prime is 513165531647. The next prime is 513165531653. The reversal of 513165531648 is 846135561315.

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

Its product of digits (1296000) is a multiple of the sum of its prime divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 513165531597 and 513165531606.

It is not an unprimeable number, because it can be changed into a prime (513165531643) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5080846798 + ... + 5080846898.

Almost surely, 2^513165531648 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 513165531648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978947459424).

513165531648 is an abundant number, since it is smaller than the sum of its proper divisors (1444729387200).

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

513165531648 is a wasteful number, since it uses less digits than its factorization.

513165531648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 160 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 48.

The spelling of 513165531648 in words is "five hundred thirteen billion, one hundred sixty-five million, five hundred thirty-one thousand, six hundred forty-eight".