51051580965 has 256 divisors, whose sum is σ = 119872880640. Its totient is φ = 19984631040.

The previous prime is 51051580961. The next prime is 51051580969. The reversal of 51051580965 is 56908515015.

51051580965 is a `hidden beast` number, since 5 + 1 + 0 + 5 + 1 + 580 + 9 + 65 = 666.

It is an interprime number because it is at equal distance from previous prime (51051580961) and next prime (51051580969).

It is not a de Polignac number, because 51051580965 - 2² = 51051580961 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 a self number, because there is not a number n which added to its sum of digits gives 51051580965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51051580961) 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 255 ways as a sum of consecutive naturals, for example, 16017102 + ... + 16020288.

It is an arithmetic number, because the mean of its divisors is an integer number (468253440).

Almost surely, 2^51051580965 is an apocalyptic number.

51051580965 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

51051580965 is an abundant number, since it is smaller than the sum of its proper divisors (68821299675).

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

51051580965 is a wasteful number, since it uses less digits than its factorization.

51051580965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309 (or 3303 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 45.

The spelling of 51051580965 in words is "fifty-one billion, fifty-one million, five hundred eighty thousand, nine hundred sixty-five".