510413122342332 has 216 divisors, whose sum is σ = 1419905749342080. Its totient is φ = 154480992177600.

The previous prime is 510413122342283. The next prime is 510413122342337. The reversal of 510413122342332 is 233243221314015.

510413122342332 is a `hidden beast` number, since 5 + 1 + 0 + 4 + 1 + 3 + 1 + 223 + 423 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (510413122342337) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12147177219 + ... + 12147219237.

Almost surely, 2^{510413122342332} 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 510413122342332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709952874671040).

510413122342332 is an abundant number, since it is smaller than the sum of its proper divisors (909492626999748).

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

510413122342332 is a wasteful number, since it uses less digits than its factorization.

510413122342332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45405 (or 45389 counting only the distinct ones).

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

Adding to 510413122342332 its reverse (233243221314015), we get a palindrome (743656343656347).

The spelling of 510413122342332 in words is "five hundred ten trillion, four hundred thirteen billion, one hundred twenty-two million, three hundred forty-two thousand, three hundred thirty-two".