513024531040 has 96 divisors (see below), whose sum is σ = 1418950903104. Its totient is φ = 171604008960.

The previous prime is 513024531011. The next prime is 513024531077. The reversal of 513024531040 is 40135420315.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5540149 + ... + 5631988.

It is an arithmetic number, because the mean of its divisors is an integer number (14780738574).

Almost surely, 2^513024531040 is an apocalyptic number.

It is an amenable number.

513024531040 is an abundant number, since it is smaller than the sum of its proper divisors (905926372064).

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

513024531040 is a wasteful number, since it uses less digits than its factorization.

513024531040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11172200 (or 11172192 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 513024531040 its reverse (40135420315), we get a palindrome (553159951355).

The spelling of 513024531040 in words is "five hundred thirteen billion, twenty-four million, five hundred thirty-one thousand, forty".