6540515100 has 378 divisors, whose sum is σ = 24767388744. Its totient is φ = 1494158400.

The previous prime is 6540515071. The next prime is 6540515117. The reversal of 6540515100 is 15150456.

It is a happy number.

6540515100 is a `hidden beast` number, since 6 + 5 + 40 + 515 + 100 = 666.

It is a tau number, because it is divible by the number of its divisors (378).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 3571185 + ... + 3573015.

Almost surely, 2^6540515100 is an apocalyptic number.

6540515100 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 6540515100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12383694372).

6540515100 is an abundant number, since it is smaller than the sum of its proper divisors (18226873644).

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

6540515100 is a wasteful number, since it uses less digits than its factorization.

6540515100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 6540515100 is about 80873.4511443650. The cubic root of 6540515100 is about 1870.1250643190.

Adding to 6540515100 its reverse (15150456), we get a palindrome (6555665556).

The spelling of 6540515100 in words is "six billion, five hundred forty million, five hundred fifteen thousand, one hundred".