51180785523025 has 24 divisors (see below), whose sum is σ = 65049424804728. Its totient is φ = 39923033280000.

The previous prime is 51180785523001. The next prime is 51180785523029. The reversal of 51180785523025 is 52032558708115.

It can be written as a sum of positive squares in 12 ways, for example, as 31261416798481 + 19919368724544 = 5591191^2 + 4463112^2 .

It is not a de Polignac number, because 51180785523025 - 2⁷ = 51180785522897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51180785523029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12555646 + ... + 16124695.

It is an arithmetic number, because the mean of its divisors is an integer number (2710392700197).

Almost surely, 2^{51180785523025} is an apocalyptic number.

It is an amenable number.

51180785523025 is a deficient number, since it is larger than the sum of its proper divisors (13868639281703).

51180785523025 is a wasteful number, since it uses less digits than its factorization.

51180785523025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28682133 (or 28682128 counting only the distinct ones).

The product of its (nonzero) digits is 3360000, while the sum is 52.

The spelling of 51180785523025 in words is "fifty-one trillion, one hundred eighty billion, seven hundred eighty-five million, five hundred twenty-three thousand, twenty-five".