2553626372049 has 9 divisors (see below), whose sum is σ = 3688578351003. Its totient is φ = 1702414385352.

The previous prime is 2553626372027. The next prime is 2553626372147. The reversal of 2553626372049 is 9402736263552.

The square root of 2553626372049 is 1598007.

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

2553626372049 is a `hidden beast` number, since 2 + 5 + 5 + 3 + 626 + 3 + 7 + 2 + 0 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 100706579649 + 2452919792400 = 317343^2 + 1566180^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 2553626372049 - 2³⁹ = 2003870558161 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2553626371986 and 2553626372004.

It is not an unprimeable number, because it can be changed into a prime (2553626352049) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4527687 + ... + 5060355.

Almost surely, 2^{2553626372049} is an apocalyptic number.

2553626372049 is the 1598007-th square number.

2553626372049 is the 799004-th centered octagonal number.

It is an amenable number.

2553626372049 is a deficient number, since it is larger than the sum of its proper divisors (1134951978954).

2553626372049 is an frugal number, since it uses more digits than its factorization.

2553626372049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065344 (or 532672 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 2553626372049 in words is "two trillion, five hundred fifty-three billion, six hundred twenty-six million, three hundred seventy-two thousand, forty-nine".