51867785025 has 189 divisors, whose sum is σ = 112641017913. Its totient is φ = 23612601600.

The previous prime is 51867785017. The next prime is 51867785029. The reversal of 51867785025 is 52058776815.

The square root of 51867785025 is 227745.

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

51867785025 is a `hidden beast` number, since 5 + 1 + 8 + 67 + 78 + 502 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 771895089 + 51095889936 = 27783^2 + 226044^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 51867785025 - 2³ = 51867785017 is a prime.

It is a super-2 number, since 2×51867785025² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51867785029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 215218905 + ... + 215219145.

Almost surely, 2^51867785025 is an apocalyptic number.

51867785025 is the 227745-th square number.

51867785025 is the 113873-rd centered octagonal number.

It is an amenable number.

51867785025 is an abundant number, since it is smaller than the sum of its proper divisors (60773232888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51867785025 is an frugal number, since it uses more digits than its factorization.

51867785025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 54.

The spelling of 51867785025 in words is "fifty-one billion, eight hundred sixty-seven million, seven hundred eighty-five thousand, twenty-five".