51964965 has 36 divisors (see below), whose sum is σ = 97548516. Its totient is φ = 25579008.

The previous prime is 51964931. The next prime is 51964967. The reversal of 51964965 is 56946915.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 20223009 + 31741956 = 4497^2 + 5634^2 .

It is not a de Polignac number, because 51964965 - 2⁶ = 51964901 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 51964965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51964967) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4189 + ... + 11021.

It is an arithmetic number, because the mean of its divisors is an integer number (2709681).

Almost surely, 2^51964965 is an apocalyptic number.

It is an amenable number.

51964965 is a deficient number, since it is larger than the sum of its proper divisors (45583551).

51964965 is a wasteful number, since it uses less digits than its factorization.

51964965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6870 (or 6854 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 51964965 is about 7208.6729014431. The cubic root of 51964965 is about 373.1672708690.

The spelling of 51964965 in words is "fifty-one million, nine hundred sixty-four thousand, nine hundred sixty-five".