2511513225 has 81 divisors (see below), whose sum is σ = 4890074943. Its totient is φ = 1231626240.

The previous prime is 2511513217. The next prime is 2511513281. The reversal of 2511513225 is 5223151152.

The square root of 2511513225 is 50115.

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

It can be written as a sum of positive squares in 13 ways, for example, as 937645641 + 1573867584 = 30621^2 + 39672^2 .

It is not a de Polignac number, because 2511513225 - 2³ = 2511513217 is a prime.

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9772297 + ... + 9772553.

Almost surely, 2^2511513225 is an apocalyptic number.

2511513225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2511513225 is the 50115-th square number.

2511513225 is the 25058-th centered octagonal number.

It is an amenable number.

2511513225 is a deficient number, since it is larger than the sum of its proper divisors (2378561718).

2511513225 is a wasteful number, since it uses less digits than its factorization.

2511513225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 278 counting only the distinct ones).

The product of its digits is 3000, while the sum is 27.

The cubic root of 2511513225 is about 1359.2890648807.

Adding to 2511513225 its reverse (5223151152), we get a palindrome (7734664377).

The spelling of 2511513225 in words is "two billion, five hundred eleven million, five hundred thirteen thousand, two hundred twenty-five".