513262320123240 has 1024 divisors, whose sum is σ = 1835285050368000. Its totient is φ = 127141409341440.

The previous prime is 513262320123211. The next prime is 513262320123247. The reversal of 513262320123240 is 42321023262315.

513262320123240 is a `hidden beast` number, since 5 + 1 + 3 + 2 + 6 + 2 + 320 + 1 + 2 + 324 + 0 = 666.

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 = 513262320123195 and 513262320123204.

It is not an unprimeable number, because it can be changed into a prime (513262320123247) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 611754850741 + ... + 611754851579.

It is an arithmetic number, because the mean of its divisors is an integer number (1792270557000).

Almost surely, 2^{513262320123240} 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 513262320123240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917642525184000).

513262320123240 is an abundant number, since it is smaller than the sum of its proper divisors (1322022730244760).

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

513262320123240 is a wasteful number, since it uses less digits than its factorization.

513262320123240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 513262320123240 its reverse (42321023262315), we get a palindrome (555583343385555).

The spelling of 513262320123240 in words is "five hundred thirteen trillion, two hundred sixty-two billion, three hundred twenty million, one hundred twenty-three thousand, two hundred forty".