1051886128225 has 27 divisors (see below), whose sum is σ = 1337195149369. Its totient is φ = 820820196800.

The previous prime is 1051886128213. The next prime is 1051886128261. The reversal of 1051886128225 is 5228216881501.

It is a happy number.

The square root of 1051886128225 is 1025615.

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

It can be written as a sum of positive squares in 4 ways, for example, as 442755829201 + 609130299024 = 665399^2 + 780468^2 .

It is not a de Polignac number, because 1051886128225 - 2¹⁵ = 1051886095457 is a prime.

It is a super-2 number, since 2×1051886128225² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 210248574 + ... + 210253576.

Almost surely, 2^{1051886128225} is an apocalyptic number.

1051886128225 is the 1025615-th square number.

1051886128225 is the 512808-th centered octagonal number.

It is an amenable number.

1051886128225 is a deficient number, since it is larger than the sum of its proper divisors (285309021144).

1051886128225 is an frugal number, since it uses more digits than its factorization.

1051886128225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10098 (or 5049 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 49.

Multiplying 1051886128225 by its sum of digits (49), we get a square (51542420283025 = 7179305²).

The spelling of 1051886128225 in words is "one trillion, fifty-one billion, eight hundred eighty-six million, one hundred twenty-eight thousand, two hundred twenty-five".