512314522515540 has 480 divisors, whose sum is σ = 1696189368424320. Its totient is φ = 129086380560384.

The previous prime is 512314522515527. The next prime is 512314522515647. The reversal of 512314522515540 is 45515225413215.

512314522515540 is a `hidden beast` number, since 5 + 1 + 2 + 3 + 1 + 4 + 52 + 2 + 51 + 5 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 48992489992 + ... + 48992500448.

It is an arithmetic number, because the mean of its divisors is an integer number (3533727850884).

Almost surely, 2^{512314522515540} 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 512314522515540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848094684212160).

512314522515540 is an abundant number, since it is smaller than the sum of its proper divisors (1183874845908780).

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

512314522515540 is a wasteful number, since it uses less digits than its factorization.

512314522515540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14533 (or 14522 counting only the distinct ones).

The product of its (nonzero) digits is 1200000, while the sum is 45.

Adding to 512314522515540 its reverse (45515225413215), we get a palindrome (557829747928755).

The spelling of 512314522515540 in words is "five hundred twelve trillion, three hundred fourteen billion, five hundred twenty-two million, five hundred fifteen thousand, five hundred forty".