2521551252 has 96 divisors (see below), whose sum is σ = 6497334144. Its totient is φ = 754790400.

The previous prime is 2521551251. The next prime is 2521551311.

2521551252 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2521551251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5823228 + ... + 5823660.

It is an arithmetic number, because the mean of its divisors is an integer number (67680564).

Almost surely, 2^2521551252 is an apocalyptic number.

2521551252 is a gapful number since it is divisible by the number (22) 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 2521551252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3248667072).

2521551252 is an abundant number, since it is smaller than the sum of its proper divisors (3975782892).

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

2521551252 is a wasteful number, since it uses less digits than its factorization.

2521551252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 887 counting only the distinct ones).

The product of its digits is 10000, while the sum is 30.

The square root of 2521551252 is about 50215.0500547396. The cubic root of 2521551252 is about 1361.0975950549.

It can be divided in two parts, 25215 and 51252, that added together give a palindrome (76467).

The spelling of 2521551252 in words is "two billion, five hundred twenty-one million, five hundred fifty-one thousand, two hundred fifty-two".