2525553216 has 112 divisors (see below), whose sum is σ = 7514539200. Its totient is φ = 831661056.

The previous prime is 2525553211. The next prime is 2525553221. The reversal of 2525553216 is 6123555252.

It is an interprime number because it is at equal distance from previous prime (2525553211) and next prime (2525553221).

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 (2525553211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134620 + ... + 152228.

It is an arithmetic number, because the mean of its divisors is an integer number (67094100).

Almost surely, 2^2525553216 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 2525553216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3757269600).

2525553216 is an abundant number, since it is smaller than the sum of its proper divisors (4988985984).

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

2525553216 is a wasteful number, since it uses less digits than its factorization.

2525553216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17713 (or 17697 counting only the distinct ones).

The product of its digits is 90000, while the sum is 36.

The square root of 2525553216 is about 50254.8825090657. The cubic root of 2525553216 is about 1361.8172822481.

The spelling of 2525553216 in words is "two billion, five hundred twenty-five million, five hundred fifty-three thousand, two hundred sixteen".