516581142 has 192 divisors, whose sum is σ = 1413241344. Its totient is φ = 122204160.

The previous prime is 516581137. The next prime is 516581171. The reversal of 516581142 is 241185615.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7076418 + ... + 7076490.

It is an arithmetic number, because the mean of its divisors is an integer number (7360632).

Almost surely, 2^516581142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516581142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706620672).

516581142 is an abundant number, since it is smaller than the sum of its proper divisors (896660202).

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

516581142 is a wasteful number, since it uses less digits than its factorization.

516581142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 166 counting only the distinct ones).

The product of its digits is 9600, while the sum is 33.

The square root of 516581142 is about 22728.4214586055. The cubic root of 516581142 is about 802.3789303095.

The spelling of 516581142 in words is "five hundred sixteen million, five hundred eighty-one thousand, one hundred forty-two".