51001447225 has 45 divisors (see below), whose sum is σ = 66769857935. Its totient is φ = 38644885200.

The previous prime is 51001447157. The next prime is 51001447247. The reversal of 51001447225 is 52274410015.

The square root of 51001447225 is 225835.

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

It can be written as a sum of positive squares in only one way, i.e., 18360521001 + 32640926224 = 135501^2 + 180668^2 .

It is not a de Polignac number, because 51001447225 - 2¹¹ = 51001445177 is a prime.

It is a super-2 number, since 2×51001447225² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1085137152 + ... + 1085137198.

Almost surely, 2^51001447225 is an apocalyptic number.

51001447225 is the 225835-th square number.

51001447225 is the 112918-th centered octagonal number.

It is an amenable number.

51001447225 is a deficient number, since it is larger than the sum of its proper divisors (15768410710).

51001447225 is an frugal number, since it uses more digits than its factorization.

51001447225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 31.

The spelling of 51001447225 in words is "fifty-one billion, one million, four hundred forty-seven thousand, two hundred twenty-five".