513012839040 has 640 divisors, whose sum is σ = 1992788194320. Its totient is φ = 125013196800.

The previous prime is 513012839039. The next prime is 513012839047. The reversal of 513012839040 is 40938210315.

513012839040 is a `hidden beast` number, since 513 + 0 + 12 + 8 + 3 + 90 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 252349494336 + 260663344704 = 502344^2 + 510552^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 513012838986 and 513012839004.

It is not an unprimeable number, because it can be changed into a prime (513012839047) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 68062152 + ... + 68069688.

Almost surely, 2^513012839040 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 513012839040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996394097160).

513012839040 is an abundant number, since it is smaller than the sum of its proper divisors (1479775355280).

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

513012839040 is a wasteful number, since it uses less digits than its factorization.

513012839040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7682 (or 7661 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 513012839040 in words is "five hundred thirteen billion, twelve million, eight hundred thirty-nine thousand, forty".