1051578466225 has 81 divisors (see below), whose sum is σ = 1539705487233. Its totient is φ = 710376522240.

The previous prime is 1051578466187. The next prime is 1051578466249. The reversal of 1051578466225 is 5226648751501.

The square root of 1051578466225 is 1025465.

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 57577442209 + 994001024016 = 239953^2 + 996996^2 .

It is not a de Polignac number, because 1051578466225 - 2¹⁵ = 1051578433457 is a prime.

It is a super-2 number, since 2×1051578466225² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2978975649 + ... + 2978976001.

Almost surely, 2^{1051578466225} is an apocalyptic number.

1051578466225 is the 1025465-th square number.

1051578466225 is the 512733-rd centered octagonal number.

It is an amenable number.

1051578466225 is a deficient number, since it is larger than the sum of its proper divisors (488127021008).

1051578466225 is an frugal number, since it uses more digits than its factorization.

1051578466225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 52.

It can be divided in two parts, 10515784 and 66225, that added together give a square (10582009 = 3253²).

The spelling of 1051578466225 in words is "one trillion, fifty-one billion, five hundred seventy-eight million, four hundred sixty-six thousand, two hundred twenty-five".