51458654025 has 75 divisors (see below), whose sum is σ = 96680918455. Its totient is φ = 27058071600.

The previous prime is 51458653979. The next prime is 51458654029. The reversal of 51458654025 is 52045685415.

The square root of 51458654025 is 226845.

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

51458654025 is a `hidden beast` number, since 5 + 1 + 4 + 5 + 86 + 540 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18525115449 + 32933538576 = 136107^2 + 181476^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 51458654025 - 2⁹ = 51458653513 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (51458654029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 724769740 + ... + 724769810.

Almost surely, 2^51458654025 is an apocalyptic number.

51458654025 is the 226845-th square number.

51458654025 is the 113423-rd centered octagonal number.

It is an amenable number.

51458654025 is a deficient number, since it is larger than the sum of its proper divisors (45222264430).

51458654025 is an frugal number, since it uses more digits than its factorization.

51458654025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

The spelling of 51458654025 in words is "fifty-one billion, four hundred fifty-eight million, six hundred fifty-four thousand, twenty-five".