2503752405625 has 45 divisors (see below), whose sum is σ = 3155862610857. Its totient is φ = 1985754582000.

The previous prime is 2503752405611. The next prime is 2503752405629. The reversal of 2503752405625 is 5265042573052.

The square root of 2503752405625 is 1582325.

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

It can be written as a sum of positive squares in 2 ways, for example, as 196294188601 + 2307458217024 = 443051^2 + 1519032^2 .

It is not a de Polignac number, because 2503752405625 - 2⁹ = 2503752405113 is a prime.

It is a super-2 number, since 2×2503752405625² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2503752405629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6606206686 + ... + 6606207064.

Almost surely, 2^{2503752405625} is an apocalyptic number.

2503752405625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2503752405625 is the 1582325-th square number.

2503752405625 is the 791163-rd centered octagonal number.

It is an amenable number.

2503752405625 is a deficient number, since it is larger than the sum of its proper divisors (652110205232).

2503752405625 is an frugal number, since it uses more digits than its factorization.

2503752405625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 2520000, while the sum is 46.

Adding to 2503752405625 its reverse (5265042573052), we get a palindrome (7768794978677).

The spelling of 2503752405625 in words is "two trillion, five hundred three billion, seven hundred fifty-two million, four hundred five thousand, six hundred twenty-five".