51145456461 has 16 divisors (see below), whose sum is σ = 74397572928. Its totient is φ = 30995504000.

The previous prime is 51145456399. The next prime is 51145456463. The reversal of 51145456461 is 16465454115.

It is a cyclic number.

It is not a de Polignac number, because 51145456461 - 2¹¹ = 51145454413 is a prime.

It is a super-3 number, since 3×51145456461³ (a number of 33 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51145456463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 791161 + ... + 853361.

It is an arithmetic number, because the mean of its divisors is an integer number (4649848308).

Almost surely, 2^51145456461 is an apocalyptic number.

It is an amenable number.

51145456461 is a deficient number, since it is larger than the sum of its proper divisors (23252116467).

51145456461 is a wasteful number, since it uses less digits than its factorization.

51145456461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87132.

The product of its digits is 288000, while the sum is 42.

The spelling of 51145456461 in words is "fifty-one billion, one hundred forty-five million, four hundred fifty-six thousand, four hundred sixty-one".