516054000 has 320 divisors, whose sum is σ = 2076152832. Its totient is φ = 107136000.

The previous prime is 516053977. The next prime is 516054017. The reversal of 516054000 is 450615.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 461442 + ... + 462558.

Almost surely, 2^516054000 is an apocalyptic number.

516054000 is a gapful number since it is divisible by the number (50) 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 516054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038076416).

516054000 is an abundant number, since it is smaller than the sum of its proper divisors (1560098832).

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

516054000 is a wasteful number, since it uses less digits than its factorization.

516054000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 516054000 is about 22716.8219608289. The cubic root of 516054000 is about 802.1059098984.

The spelling of 516054000 in words is "five hundred sixteen million, fifty-four thousand".