516131411010 has 64 divisors (see below), whose sum is σ = 1268049720960. Its totient is φ = 134378334720.

The previous prime is 516131411009. The next prime is 516131411021. The reversal of 516131411010 is 10114131615.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3066936 + ... + 3230844.

It is an arithmetic number, because the mean of its divisors is an integer number (19813276890).

Almost surely, 2^516131411010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516131411010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634024860480).

516131411010 is an abundant number, since it is smaller than the sum of its proper divisors (751918309950).

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

516131411010 is a wasteful number, since it uses less digits than its factorization.

516131411010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166403.

The product of its (nonzero) digits is 360, while the sum is 24.

Adding to 516131411010 its reverse (10114131615), we get a palindrome (526245542625).

The spelling of 516131411010 in words is "five hundred sixteen billion, one hundred thirty-one million, four hundred eleven thousand, ten".