6504953100 has 144 divisors (see below), whose sum is σ = 20002969728. Its totient is φ = 1626485760.

The previous prime is 6504953099. The next prime is 6504953111. The reversal of 6504953100 is 13594056.

It is a happy number.

It is a super-2 number, since 2×6504953100² = 84628829666399220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1441047 + ... + 1445553.

It is an arithmetic number, because the mean of its divisors is an integer number (138909512).

Almost surely, 2^6504953100 is an apocalyptic number.

6504953100 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 6504953100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10001484864).

6504953100 is an abundant number, since it is smaller than the sum of its proper divisors (13498016628).

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

6504953100 is a wasteful number, since it uses less digits than its factorization.

6504953100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4824 (or 4817 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 6504953100 is about 80653.2894555455. The cubic root of 6504953100 is about 1866.7294965388.

The spelling of 6504953100 in words is "six billion, five hundred four million, nine hundred fifty-three thousand, one hundred".