51283225764 has 135 divisors (see below), whose sum is σ = 140403480987. Its totient is φ = 16321280976.

The previous prime is 51283225597. The next prime is 51283225781. The reversal of 51283225764 is 46752238215.

The square root of 51283225764 is 226458.

It is a perfect power (a square), and thus also a powerful number.

51283225764 is a `hidden beast` number, since 51 + 2 + 8 + 3 + 22 + 576 + 4 = 666.

It is a super-3 number, since 3×51283225764³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 93753339 + ... + 93753885.

Almost surely, 2^51283225764 is an apocalyptic number.

51283225764 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

51283225764 is the 226458-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51283225764

51283225764 is an abundant number, since it is smaller than the sum of its proper divisors (89120255223).

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

51283225764 is an equidigital number, since it uses as much as digits as its factorization.

51283225764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 575 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 51283225764 in words is "fifty-one billion, two hundred eighty-three million, two hundred twenty-five thousand, seven hundred sixty-four".