2525263504 has 45 divisors (see below), whose sum is σ = 5204476137. Its totient is φ = 1186751232.

The previous prime is 2525263471. The next prime is 2525263511. The reversal of 2525263504 is 4053625252.

The square root of 2525263504 is 50252.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1966035600 + 559227904 = 44340^2 + 23648^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2525263504.

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 8 ways as a sum of consecutive naturals, for example, 3416767 + ... + 3417505.

Almost surely, 2^2525263504 is an apocalyptic number.

2525263504 is the 50252-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2525263504

2525263504 is an abundant number, since it is smaller than the sum of its proper divisors (2679212633).

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

2525263504 is an frugal number, since it uses more digits than its factorization.

2525263504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

The cubic root of 2525263504 is about 1361.7652078626.

Adding to 2525263504 its reverse (4053625252), we get a palindrome (6578888756).

The spelling of 2525263504 in words is "two billion, five hundred twenty-five million, two hundred sixty-three thousand, five hundred four".