513153212240 has 40 divisors (see below), whose sum is σ = 1215592194888. Its totient is φ = 201388428800.

The previous prime is 513153212213. The next prime is 513153212261. The reversal of 513153212240 is 42212351315.

It can be written as a sum of positive squares in 4 ways, for example, as 40370453776 + 472782758464 = 200924^2 + 687592^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60509111 + ... + 60517590.

Almost surely, 2^513153212240 is an apocalyptic number.

It is an amenable number.

513153212240 is an abundant number, since it is smaller than the sum of its proper divisors (702438982648).

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

513153212240 is a wasteful number, since it uses less digits than its factorization.

513153212240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121026767 (or 121026761 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 513153212240 its reverse (42212351315), we get a palindrome (555365563555).

The spelling of 513153212240 in words is "five hundred thirteen billion, one hundred fifty-three million, two hundred twelve thousand, two hundred forty".