513428790240 has 576 divisors, whose sum is σ = 1957231890432. Its totient is φ = 126730137600.

The previous prime is 513428790239. The next prime is 513428790241. The reversal of 513428790240 is 42097824315.

513428790240 is a `hidden beast` number, since 513 + 4 + 2 + 8 + 7 + 90 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (513428790239) and next prime (513428790241).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513428790241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27712180 + ... + 27730700.

It is an arithmetic number, because the mean of its divisors is an integer number (3397972032).

Almost surely, 2^513428790240 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 513428790240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978615945216).

513428790240 is an abundant number, since it is smaller than the sum of its proper divisors (1443803100192).

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

513428790240 is a wasteful number, since it uses less digits than its factorization.

513428790240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18605 (or 18585 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 513428790240 in words is "five hundred thirteen billion, four hundred twenty-eight million, seven hundred ninety thousand, two hundred forty".