513084407040 has 216 divisors, whose sum is σ = 1836434232360. Its totient is φ = 132104404992.

The previous prime is 513084407029. The next prime is 513084407081. The reversal of 513084407040 is 40704480315.

513084407040 is a `hidden beast` number, since 5 + 130 + 84 + 407 + 0 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 130507776 + 512953899264 = 11424^2 + 716208^2 .

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 = 513084406986 and 513084407004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 433827 + ... + 1101986.

It is an arithmetic number, because the mean of its divisors is an integer number (8502010335).

Almost surely, 2^513084407040 is an apocalyptic number.

It is an amenable number.

513084407040 is an abundant number, since it is smaller than the sum of its proper divisors (1323349825320).

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

513084407040 is a wasteful number, since it uses less digits than its factorization.

513084407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535869 (or 1535852 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 513084407040 its reverse (40704480315), we get a palindrome (553788887355).

The spelling of 513084407040 in words is "five hundred thirteen billion, eighty-four million, four hundred seven thousand, forty".