516827136 has 192 divisors, whose sum is σ = 1608647040. Its totient is φ = 144506880.

The previous prime is 516827131. The next prime is 516827141. The reversal of 516827136 is 631728615.

It is an interprime number because it is at equal distance from previous prime (516827131) and next prime (516827141).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×516827136² = 534220577011924992, which contains 22 as substring.

Its product of digits (60480) is a multiple of the sum of its prime divisors (270).

It is a junction number, because it is equal to n+sod(n) for n = 516827094 and 516827103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516827131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2623390 + ... + 2623586.

It is an arithmetic number, because the mean of its divisors is an integer number (8378370).

Almost surely, 2^516827136 is an apocalyptic number.

516827136 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516827136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804323520).

516827136 is an abundant number, since it is smaller than the sum of its proper divisors (1091819904).

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

516827136 is a wasteful number, since it uses less digits than its factorization.

516827136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 270 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 516827136 is about 22733.8324089890. The cubic root of 516827136 is about 802.5062733761.

The spelling of 516827136 in words is "five hundred sixteen million, eight hundred twenty-seven thousand, one hundred thirty-six".