2551683565201 has 15 divisors (see below), whose sum is σ = 2648317774233. Its totient is φ = 2458492904940.

The previous prime is 2551683565183. The next prime is 2551683565283. The reversal of 2551683565201 is 1025653861552.

The square root of 2551683565201 is 1597399.

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

It is a de Polignac number, because none of the positive numbers 2^k-2551683565201 is a prime.

It is a super-2 number, since 2×2551683565201² (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 (2551683565801) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 11240896650 + ... + 11240896876.

Almost surely, 2^{2551683565201} is an apocalyptic number.

2551683565201 is the 1597399-th square number.

2551683565201 is the 798700-th centered octagonal number.

It is an amenable number.

2551683565201 is a deficient number, since it is larger than the sum of its proper divisors (96634209032).

2551683565201 is an frugal number, since it uses more digits than its factorization.

2551683565201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 49.

Multiplying 2551683565201 by its sum of digits (49), we get a square (125032494694849 = 11181793²).

The spelling of 2551683565201 in words is "two trillion, five hundred fifty-one billion, six hundred eighty-three million, five hundred sixty-five thousand, two hundred one".