2153531100 has 288 divisors, whose sum is σ = 7604513280. Its totient is φ = 459325440.

The previous prime is 2153531071. The next prime is 2153531137. The reversal of 2153531100 is 11353512.

2153531100 = 63² + 64² + ... + 1862².

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6390132 + ... + 6390468.

It is an arithmetic number, because the mean of its divisors is an integer number (26404560).

Almost surely, 2^2153531100 is an apocalyptic number.

2153531100 is a gapful number since it is divisible by the number (20) 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 2153531100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3802256640).

2153531100 is an abundant number, since it is smaller than the sum of its proper divisors (5450982180).

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

2153531100 is a wasteful number, since it uses less digits than its factorization.

2153531100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 2153531100 is about 46406.1536867687. The cubic root of 2153531100 is about 1291.3690771015.

Adding to 2153531100 its reverse (11353512), we get a palindrome (2164884612).

The spelling of 2153531100 in words is "two billion, one hundred fifty-three million, five hundred thirty-one thousand, one hundred".