6513146420 has 192 divisors, whose sum is σ = 16767959040. Its totient is φ = 2094336000.

The previous prime is 6513146411. The next prime is 6513146443. The reversal of 6513146420 is 246413156.

It is a super-3 number, since 3×6513146420³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10729757 + ... + 10730363.

It is an arithmetic number, because the mean of its divisors is an integer number (87333120).

Almost surely, 2^6513146420 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 6513146420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8383979520).

6513146420 is an abundant number, since it is smaller than the sum of its proper divisors (10254812620).

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

6513146420 is a wasteful number, since it uses less digits than its factorization.

6513146420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 6513146420 is about 80704.0669359358. The cubic root of 6513146420 is about 1867.5129146964.

Adding to 6513146420 its reverse (246413156), we get a palindrome (6759559576).

The spelling of 6513146420 in words is "six billion, five hundred thirteen million, one hundred forty-six thousand, four hundred twenty".