6135053100 has 288 divisors, whose sum is σ = 19888727040. Its totient is φ = 1447680000.

The previous prime is 6135053087. The next prime is 6135053117. The reversal of 6135053100 is 13505316.

It is a super-2 number, since 2×6135053100² = 75277753079639220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26330584 + ... + 26330816.

It is an arithmetic number, because the mean of its divisors is an integer number (69058080).

Almost surely, 2^6135053100 is an apocalyptic number.

6135053100 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 6135053100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9944363520).

6135053100 is an abundant number, since it is smaller than the sum of its proper divisors (13753673940).

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

6135053100 is a wasteful number, since it uses less digits than its factorization.

6135053100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 6135053100 is about 78326.5797797912. The cubic root of 6135053100 is about 1830.6533246148.

Adding to 6135053100 its reverse (13505316), we get a palindrome (6148558416).

It can be divided in two parts, 613505 and 3100, that added together give a triangular number (616605 = T₁₁₁₀).

The spelling of 6135053100 in words is "six billion, one hundred thirty-five million, fifty-three thousand, one hundred".