51748970256 has 225 divisors, whose sum is σ = 153641871493. Its totient is φ = 16815617280.

The previous prime is 51748970249. The next prime is 51748970263. The reversal of 51748970256 is 65207984715.

The square root of 51748970256 is 227484.

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

51748970256 is a `hidden beast` number, since 517 + 4 + 8 + 9 + 70 + 2 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (51748970249) and next prime (51748970263).

It can be written as a sum of positive squares in only one way, i.e., 9936899856 + 41812070400 = 99684^2 + 204480^2 .

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

It is a Duffinian number.

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, 581449060 + ... + 581449148.

Almost surely, 2^51748970256 is an apocalyptic number.

51748970256 is the 227484-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51748970256

51748970256 is an abundant number, since it is smaller than the sum of its proper divisors (101892901237).

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

51748970256 is an frugal number, since it uses more digits than its factorization.

51748970256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 51748970256 in words is "fifty-one billion, seven hundred forty-eight million, nine hundred seventy thousand, two hundred fifty-six".