513864762048 has 1120 divisors, whose sum is σ = 1934206179840. Its totient is φ = 132697128960.

The previous prime is 513864762017. The next prime is 513864762049. The reversal of 513864762048 is 840267468315.

It is a happy number.

513864762048 is a `hidden beast` number, since 5 + 1 + 3 + 8 + 6 + 4 + 7 + 620 + 4 + 8 = 666.

It is a super-2 number, since 2×513864762048² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 513864761985 and 513864762003.

It is not an unprimeable number, because it can be changed into a prime (513864762049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 423630690 + ... + 423631902.

Almost surely, 2^513864762048 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 513864762048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967103089920).

513864762048 is an abundant number, since it is smaller than the sum of its proper divisors (1420341417792).

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

513864762048 is a wasteful number, since it uses less digits than its factorization.

513864762048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 513864762048 in words is "five hundred thirteen billion, eight hundred sixty-four million, seven hundred sixty-two thousand, forty-eight".