516573153641730 has 128 divisors (see below), whose sum is σ = 1267451440275456. Its totient is φ = 134683784928000.

The previous prime is 516573153641689. The next prime is 516573153641767. The reversal of 516573153641730 is 37146351375615.

It is a happy number.

It is a super-2 number, since 2×516573153641730² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15059985580 + ... + 15060019880.

It is an arithmetic number, because the mean of its divisors is an integer number (9901964377152).

Almost surely, 2^{516573153641730} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516573153641730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633725720137728).

516573153641730 is an abundant number, since it is smaller than the sum of its proper divisors (750878286633726).

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

516573153641730 is a wasteful number, since it uses less digits than its factorization.

516573153641730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44992.

The product of its (nonzero) digits is 23814000, while the sum is 57.

The spelling of 516573153641730 in words is "five hundred sixteen trillion, five hundred seventy-three billion, one hundred fifty-three million, six hundred forty-one thousand, seven hundred thirty".