516001248 has 144 divisors (see below), whose sum is σ = 1684440576. Its totient is φ = 146776320.

The previous prime is 516001217. The next prime is 516001301. The reversal of 516001248 is 842100615.

516001248 is a `hidden beast` number, since 5 + 1 + 600 + 12 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 626565 + ... + 627387.

It is an arithmetic number, because the mean of its divisors is an integer number (11697504).

Almost surely, 2^516001248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516001248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842220288).

516001248 is an abundant number, since it is smaller than the sum of its proper divisors (1168439328).

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

516001248 is a wasteful number, since it uses less digits than its factorization.

516001248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 516001248 is about 22715.6608532528. The cubic root of 516001248 is about 802.0785780476.

The spelling of 516001248 in words is "five hundred sixteen million, one thousand, two hundred forty-eight".