51105105225 has 54 divisors (see below), whose sum is σ = 95050971470. Its totient is φ = 27255968640.

The previous prime is 51105105193. The next prime is 51105105263. The reversal of 51105105225 is 52250150115.

It can be written as a sum of positive squares in 3 ways, for example, as 2849317641 + 48255787584 = 53379^2 + 219672^2 .

It is not a de Polignac number, because 51105105225 - 2⁵ = 51105105193 is a prime.

It is a super-2 number, since 2×51105105225² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 8241 + ... + 319809.

Almost surely, 2^51105105225 is an apocalyptic number.

It is an amenable number.

51105105225 is a deficient number, since it is larger than the sum of its proper divisors (43945866245).

51105105225 is an frugal number, since it uses more digits than its factorization.

51105105225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311603 (or 311577 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 27.

The spelling of 51105105225 in words is "fifty-one billion, one hundred five million, one hundred five thousand, two hundred twenty-five".