6312653010 has 144 divisors (see below), whose sum is σ = 18038521800. Its totient is φ = 1529536512.

The previous prime is 6312652961. The next prime is 6312653041. The reversal of 6312653010 is 103562136.

6312653010 is a `hidden beast` number, since 6 + 3 + 1 + 2 + 653 + 0 + 1 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2903377689 + 3409275321 = 53883^2 + 58389^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 750106 + ... + 758474.

Almost surely, 2^6312653010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6312653010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9019260900).

6312653010 is an abundant number, since it is smaller than the sum of its proper divisors (11725868790).

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

6312653010 is a wasteful number, since it uses less digits than its factorization.

6312653010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8445 (or 8425 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 6312653010 is about 79452.2058221167. The cubic root of 6312653010 is about 1848.1503802542.

It can be divided in two parts, 631 and 2653010, that added together give a square (2653641 = 1629²).

The spelling of 6312653010 in words is "six billion, three hundred twelve million, six hundred fifty-three thousand, ten".