6513150144 has 112 divisors (see below), whose sum is σ = 18561994880. Its totient is φ = 2008903680.

The previous prime is 6513150131. The next prime is 6513150157. The reversal of 6513150144 is 4410513156.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6513150131) and next prime (6513150157).

It is a super-2 number, since 2×6513150144² = 84842249596574441472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136104 + ... + 177624.

Almost surely, 2^6513150144 is an apocalyptic number.

6513150144 is a gapful number since it is divisible by the number (64) 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 6513150144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9280997440).

6513150144 is an abundant number, since it is smaller than the sum of its proper divisors (12048844736).

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

6513150144 is a wasteful number, since it uses less digits than its factorization.

6513150144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41598 (or 41588 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 6513150144 is about 80704.0900078800. The cubic root of 6513150144 is about 1867.5132706236.

The spelling of 6513150144 in words is "six billion, five hundred thirteen million, one hundred fifty thousand, one hundred forty-four".