51006065 has 32 divisors (see below), whose sum is σ = 70924032. Its totient is φ = 34848000.

The previous prime is 51006061. The next prime is 51006079. The reversal of 51006065 is 56060015.

It is not a de Polignac number, because 51006065 - 2² = 51006061 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 51006065.

It is not an unprimeable number, because it can be changed into a prime (51006061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76835 + ... + 77495.

It is an arithmetic number, because the mean of its divisors is an integer number (2216376).

Almost surely, 2^51006065 is an apocalyptic number.

51006065 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

51006065 is a deficient number, since it is larger than the sum of its proper divisors (19917967).

51006065 is a wasteful number, since it uses less digits than its factorization.

51006065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761.

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 51006065 is about 7141.8530508545. The cubic root of 51006065 is about 370.8576767534.

The spelling of 51006065 in words is "fifty-one million, six thousand, sixty-five".