51265764 has 72 divisors (see below), whose sum is σ = 146129760. Its totient is φ = 15531120.

The previous prime is 51265759. The next prime is 51265769. The reversal of 51265764 is 46756215.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (51265759) and next prime (51265769).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (51265769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11107 + ... + 15029.

It is an arithmetic number, because the mean of its divisors is an integer number (2029580).

Almost surely, 2^51265764 is an apocalyptic number.

51265764 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51265764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73064880).

51265764 is an abundant number, since it is smaller than the sum of its proper divisors (94863996).

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

51265764 is a wasteful number, since it uses less digits than its factorization.

51265764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3958 (or 3939 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 51265764 is about 7160.0114525048. The cubic root of 51265764 is about 371.4860227559.

The spelling of 51265764 in words is "fifty-one million, two hundred sixty-five thousand, seven hundred sixty-four".