2152553536 has 84 divisors (see below), whose sum is σ = 5140413900. Its totient is φ = 890674176.

The previous prime is 2152553531. The next prime is 2152553537. The reversal of 2152553536 is 6353552512.

It can be written as a sum of positive squares in 2 ways, for example, as 931470400 + 1221083136 = 30520^2 + 34944^2 .

It is a super-2 number, since 2×2152553536² = 9266973450692206592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2152553495 and 2152553504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2152553531) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79110 + ... + 102778.

Almost surely, 2^2152553536 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 2152553536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570206950).

2152553536 is an abundant number, since it is smaller than the sum of its proper divisors (2987860364).

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

2152553536 is a wasteful number, since it uses less digits than its factorization.

2152553536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23724 (or 23707 counting only the distinct ones).

The product of its digits is 135000, while the sum is 37.

The square root of 2152553536 is about 46395.6197932520. The cubic root of 2152553536 is about 1291.1736481485.

It can be divided in two parts, 215255 and 3536, that added together give a triangular number (218791 = T₆₆₁).

The spelling of 2152553536 in words is "two billion, one hundred fifty-two million, five hundred fifty-three thousand, five hundred thirty-six".