513581783040 has 1536 divisors, whose sum is σ = 2088882432000. Its totient is φ = 120394874880.

The previous prime is 513581782981. The next prime is 513581783081. The reversal of 513581783040 is 40387185315.

It is a happy number.

513581783040 is a `hidden beast` number, since 513 + 5 + 8 + 17 + 83 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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 (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7233546205 + ... + 7233546275.

It is an arithmetic number, because the mean of its divisors is an integer number (1359949500).

Almost surely, 2^513581783040 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 513581783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044441216000).

513581783040 is an abundant number, since it is smaller than the sum of its proper divisors (1575300648960).

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

513581783040 is an equidigital number, since it uses as much as digits as its factorization.

513581783040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 513581783040 in words is "five hundred thirteen billion, five hundred eighty-one million, seven hundred eighty-three thousand, forty".