6513120 has 72 divisors (see below), whose sum is σ = 22230936. Its totient is φ = 1736448.

The previous prime is 6513113. The next prime is 6513121. The reversal of 6513120 is 213156.

6513120 is a `hidden beast` number, since 651 + 3 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 6513093 and 6513102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6513121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 822 + ... + 3701.

It is an arithmetic number, because the mean of its divisors is an integer number (308763).

Almost surely, 2^6513120 is an apocalyptic number.

6513120 is a gapful number since it is divisible by the number (60) 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 6513120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11115468).

6513120 is an abundant number, since it is smaller than the sum of its proper divisors (15717816).

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

6513120 is a wasteful number, since it uses less digits than its factorization.

6513120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4544 (or 4533 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 6513120 is about 2552.0815034007. The cubic root of 6513120 is about 186.7510389560.

Adding to 6513120 its reverse (213156), we get a palindrome (6726276).

It can be divided in two parts, 651 and 3120, that multiplied together give a triangular number (2031120 = T₂₀₁₅).

The spelling of 6513120 in words is "six million, five hundred thirteen thousand, one hundred twenty".