2625835516249 has 27 divisors (see below), whose sum is σ = 2959185852637. Its totient is φ = 2328252502400.

The previous prime is 2625835516247. The next prime is 2625835516259. The reversal of 2625835516249 is 9426155385262.

The square root of 2625835516249 is 1620443.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1222008648025 + 1403826868224 = 1105445^2 + 1184832^2 .

It is not a de Polignac number, because 2625835516249 - 2¹ = 2625835516247 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2625835516193 and 2625835516202.

It is not an unprimeable number, because it can be changed into a prime (2625835516247) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 730817997 + ... + 730821589.

Almost surely, 2^{2625835516249} is an apocalyptic number.

2625835516249 is the 1620443-rd square number.

2625835516249 is the 810222-nd centered octagonal number.

It is an amenable number.

2625835516249 is a deficient number, since it is larger than the sum of its proper divisors (333350336388).

2625835516249 is an frugal number, since it uses more digits than its factorization.

2625835516249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7290 (or 3645 counting only the distinct ones).

The product of its digits is 31104000, while the sum is 58.

The spelling of 2625835516249 in words is "two trillion, six hundred twenty-five billion, eight hundred thirty-five million, five hundred sixteen thousand, two hundred forty-nine".