51065573256324 has 675 divisors, whose sum is σ = 156802561465935. Its totient is φ = 14488694415360.

The previous prime is 51065573256319. The next prime is 51065573256349. The reversal of 51065573256324 is 42365237556015.

The square root of 51065573256324 is 7146018.

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

51065573256324 is a `hidden beast` number, since 5 + 1 + 0 + 6 + 5 + 5 + 73 + 2 + 563 + 2 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31123310724 + 51034449945600 = 176418^2 + 7143840^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 264588462372 + ... + 264588462564.

Almost surely, 2^{51065573256324} is an apocalyptic number.

51065573256324 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

51065573256324 is the 7146018-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51065573256324

51065573256324 is an abundant number, since it is smaller than the sum of its proper divisors (105736988209611).

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

51065573256324 is an equidigital number, since it uses as much as digits as its factorization.

51065573256324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 22680000, while the sum is 54.

The spelling of 51065573256324 in words is "fifty-one trillion, sixty-five billion, five hundred seventy-three million, two hundred fifty-six thousand, three hundred twenty-four".