6519145248 has 768 divisors, whose sum is σ = 25546752000. Its totient is φ = 1567641600.

The previous prime is 6519145223. The next prime is 6519145249. The reversal of 6519145248 is 8425419156.

6519145248 is a `hidden beast` number, since 6 + 5 + 191 + 452 + 4 + 8 = 666.

Its product of digits (345600) is a multiple of the sum of its prime divisors (192).

It is not an unprimeable number, because it can be changed into a prime (6519145249) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59808618 + ... + 59808726.

It is an arithmetic number, because the mean of its divisors is an integer number (33264000).

Almost surely, 2^6519145248 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 6519145248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12773376000).

6519145248 is an abundant number, since it is smaller than the sum of its proper divisors (19027606752).

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

6519145248 is a wasteful number, since it uses less digits than its factorization.

6519145248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 192 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 6519145248 is about 80741.2239689243. The cubic root of 6519145248 is about 1868.0860862680.

The spelling of 6519145248 in words is "six billion, five hundred nineteen million, one hundred forty-five thousand, two hundred forty-eight".