5306515200 has 864 divisors, whose sum is σ = 22993528320. Its totient is φ = 1172275200.

The previous prime is 5306515177. The next prime is 5306515223. The reversal of 5306515200 is 25156035.

5306515200 is a `hidden beast` number, since 5 + 3 + 0 + 651 + 5 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5306515177) and next prime (5306515223).

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×5306515200³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 49593547 + ... + 49593653.

It is an arithmetic number, because the mean of its divisors is an integer number (26612880).

Almost surely, 2^5306515200 is an apocalyptic number.

5306515200 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 5306515200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11496764160).

5306515200 is an abundant number, since it is smaller than the sum of its proper divisors (17687013120).

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

5306515200 is a wasteful number, since it uses less digits than its factorization.

5306515200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 5306515200 is about 72845.8317270110. The cubic root of 5306515200 is about 1744.2275325277.

It can be divided in two parts, 53065 and 15200, that added together give a triangular number (68265 = T₃₆₉).

The spelling of 5306515200 in words is "five billion, three hundred six million, five hundred fifteen thousand, two hundred".