2521771252 has 96 divisors (see below), whose sum is σ = 5941039104. Its totient is φ = 904521600.

The previous prime is 2521771237. The next prime is 2521771261.

2521771252 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2285733 + ... + 2286835.

It is an arithmetic number, because the mean of its divisors is an integer number (61885824).

Almost surely, 2^2521771252 is an apocalyptic number.

2521771252 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 2521771252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2970519552).

2521771252 is an abundant number, since it is smaller than the sum of its proper divisors (3419267852).

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

2521771252 is a wasteful number, since it uses less digits than its factorization.

2521771252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1707 counting only the distinct ones).

The product of its digits is 19600, while the sum is 34.

The square root of 2521771252 is about 50217.2405852811. The cubic root of 2521771252 is about 1361.1371781968.

It can be divided in two parts, 25217 and 71252, that added together give a palindrome (96469).

The spelling of 2521771252 in words is "two billion, five hundred twenty-one million, seven hundred seventy-one thousand, two hundred fifty-two".