2551761965825 has 12 divisors (see below), whose sum is σ = 3273294660540. Its totient is φ = 1971016138560.

The previous prime is 2551761965777. The next prime is 2551761965839. The reversal of 2551761965825 is 5285691671552.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 319944084496 + 2231817881329 = 565636^2 + 1493927^2 .

It is not a de Polignac number, because 2551761965825 - 2¹² = 2551761961729 is a prime.

It is a super-2 number, since 2×2551761965825² (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1759835114 + ... + 1759836563.

It is an arithmetic number, because the mean of its divisors is an integer number (272774555045).

Almost surely, 2^{2551761965825} is an apocalyptic number.

2551761965825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2551761965825 is a deficient number, since it is larger than the sum of its proper divisors (721532694715).

2551761965825 is a wasteful number, since it uses less digits than its factorization.

2551761965825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3519671716 (or 3519671711 counting only the distinct ones).

The product of its digits is 45360000, while the sum is 62.

The spelling of 2551761965825 in words is "two trillion, five hundred fifty-one billion, seven hundred sixty-one million, nine hundred sixty-five thousand, eight hundred twenty-five".