6508013148 has 384 divisors, whose sum is σ = 22001172480. Its totient is φ = 1617408000.

The previous prime is 6508013131. The next prime is 6508013159. The reversal of 6508013148 is 8413108056.

6508013148 is a `hidden beast` number, since 6 + 508 + 0 + 1 + 3 + 148 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12491128 + ... + 12491648.

It is an arithmetic number, because the mean of its divisors is an integer number (57294720).

Almost surely, 2^6508013148 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 6508013148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11000586240).

6508013148 is an abundant number, since it is smaller than the sum of its proper divisors (15493159332).

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

6508013148 is a wasteful number, since it uses less digits than its factorization.

6508013148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 6508013148 is about 80672.2576106557. The cubic root of 6508013148 is about 1867.0221651299.

The spelling of 6508013148 in words is "six billion, five hundred eight million, thirteen thousand, one hundred forty-eight".