6451121313 has 60 divisors (see below), whose sum is σ = 12072646740. Its totient is φ = 3402762048.

The previous prime is 6451121293. The next prime is 6451121353. The reversal of 6451121313 is 3131211546.

It is a happy number.

6451121313 is a `hidden beast` number, since 645 + 1 + 1 + 2 + 1 + 3 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2149991424 + 4301129889 = 46368^2 + 65583^2 .

It is not a de Polignac number, because 6451121313 - 2¹⁰ = 6451120289 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (6451121353) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10918 + ... + 114111.

It is an arithmetic number, because the mean of its divisors is an integer number (201210779).

Almost surely, 2^6451121313 is an apocalyptic number.

6451121313 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

6451121313 is a deficient number, since it is larger than the sum of its proper divisors (5621525427).

6451121313 is a wasteful number, since it uses less digits than its factorization.

6451121313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125068 (or 125052 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 6451121313 is about 80318.8727074777. The cubic root of 6451121313 is about 1861.5658484279.

Adding to 6451121313 its reverse (3131211546), we get a palindrome (9582332859).

The spelling of 6451121313 in words is "six billion, four hundred fifty-one million, one hundred twenty-one thousand, three hundred thirteen".