2505233680849 has 27 divisors (see below), whose sum is σ = 2580249587643. Its totient is φ = 2432385633024.

The previous prime is 2505233680847. The next prime is 2505233680861. The reversal of 2505233680849 is 9480863325052.

The square root of 2505233680849 is 1582793.

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., 606989019025 + 1898244661824 = 779095^2 + 1377768^2 .

It is not a de Polignac number, because 2505233680849 - 2¹ = 2505233680847 is a prime.

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 2505233680849.

It is not an unprimeable number, because it can be changed into a prime (2505233680843) 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, 12980485297 + ... + 12980485489.

Almost surely, 2^{2505233680849} is an apocalyptic number.

2505233680849 is the 1582793-rd square number.

2505233680849 is the 791397-th centered octagonal number.

It is an amenable number.

2505233680849 is a deficient number, since it is larger than the sum of its proper divisors (75015906794).

2505233680849 is an frugal number, since it uses more digits than its factorization.

2505233680849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 55.

The spelling of 2505233680849 in words is "two trillion, five hundred five billion, two hundred thirty-three million, six hundred eighty thousand, eight hundred forty-nine".