513556145340 has 576 divisors, whose sum is σ = 1826659537920. Its totient is φ = 107040890880.

The previous prime is 513556145299. The next prime is 513556145351. The reversal of 513556145340 is 43541655315.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 513556145292 and 513556145301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 612104641 + ... + 612105479.

It is an arithmetic number, because the mean of its divisors is an integer number (3171283920).

Almost surely, 2^513556145340 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 513556145340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913329768960).

513556145340 is an abundant number, since it is smaller than the sum of its proper divisors (1313103392580).

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

513556145340 is a wasteful number, since it uses less digits than its factorization.

513556145340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 42.

The spelling of 513556145340 in words is "five hundred thirteen billion, five hundred fifty-six million, one hundred forty-five thousand, three hundred forty".