2553211152 has 80 divisors (see below), whose sum is σ = 7342079680. Its totient is φ = 849512448.

The previous prime is 2553211121. The next prime is 2553211183. The reversal of 2553211152 is 2511123552.

It is an interprime number because it is at equal distance from previous prime (2553211121) and next prime (2553211183).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 244143 + ... + 254385.

It is an arithmetic number, because the mean of its divisors is an integer number (91775996).

Almost surely, 2^2553211152 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 2553211152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3671039840).

2553211152 is an abundant number, since it is smaller than the sum of its proper divisors (4788868528).

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

2553211152 is a wasteful number, since it uses less digits than its factorization.

2553211152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10837 (or 10825 counting only the distinct ones).

The product of its digits is 3000, while the sum is 27.

The square root of 2553211152 is about 50529.3098310278. The cubic root of 2553211152 is about 1366.7704402925.

The spelling of 2553211152 in words is "two billion, five hundred fifty-three million, two hundred eleven thousand, one hundred fifty-two".