2153513088 has 128 divisors (see below), whose sum is σ = 6575328000. Its totient is φ = 693052416.

The previous prime is 2153513083. The next prime is 2153513101. The reversal of 2153513088 is 8803153512.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2153513081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89481 + ... + 110967.

It is an arithmetic number, because the mean of its divisors is an integer number (51369750).

Almost surely, 2^2153513088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2153513088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3287664000).

2153513088 is an abundant number, since it is smaller than the sum of its proper divisors (4421814912).

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

2153513088 is a wasteful number, since it uses less digits than its factorization.

2153513088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21539 (or 21521 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 2153513088 is about 46405.9596172733. The cubic root of 2153513088 is about 1291.3654767813.

The spelling of 2153513088 in words is "two billion, one hundred fifty-three million, five hundred thirteen thousand, eighty-eight".