3135541500 has 864 divisors, whose sum is σ = 13301084160. Its totient is φ = 606528000.

The previous prime is 3135541477. The next prime is 3135541501. The reversal of 3135541500 is 51455313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3135541501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 101146485 + ... + 101146515.

Almost surely, 2^3135541500 is an apocalyptic number.

3135541500 is a gapful number since it is divisible by the number (30) 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 3135541500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6650542080).

3135541500 is an abundant number, since it is smaller than the sum of its proper divisors (10165542660).

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

3135541500 is a wasteful number, since it uses less digits than its factorization.

3135541500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 3135541500 is about 55995.9061003570. The cubic root of 3135541500 is about 1463.6509458526.

Adding to 3135541500 its reverse (51455313), we get a palindrome (3186996813).

The spelling of 3135541500 in words is "three billion, one hundred thirty-five million, five hundred forty-one thousand, five hundred".