513879020640 has 576 divisors, whose sum is σ = 1856451804480. Its totient is φ = 134200074240.

The previous prime is 513879020639. The next prime is 513879020653. The reversal of 513879020640 is 46020978315.

513879020640 is a `hidden beast` number, since 513 + 8 + 7 + 90 + 2 + 0 + 6 + 40 = 666.

It is a super-3 number, since 3×513879020640³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 922583242 + ... + 922583798.

It is an arithmetic number, because the mean of its divisors is an integer number (3223006605).

It is a 1-persistent number, because it is pandigital, but 2⋅513879020640 = 1027758041280 is not.

Almost surely, 2^513879020640 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 513879020640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928225902240).

513879020640 is an abundant number, since it is smaller than the sum of its proper divisors (1342572783840).

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

513879020640 is a wasteful number, since it uses less digits than its factorization.

513879020640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

Adding to 513879020640 its reverse (46020978315), we get a palindrome (559899998955).

The spelling of 513879020640 in words is "five hundred thirteen billion, eight hundred seventy-nine million, twenty thousand, six hundred forty".