1005526081225 has 12 divisors (see below), whose sum is σ = 1247512458780. Its totient is φ = 803994982400.

The previous prime is 1005526081223. The next prime is 1005526081237. The reversal of 1005526081225 is 5221806255001.

1005526081225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 48378882304 + 957147198921 = 219952^2 + 978339^2 .

It is not a de Polignac number, because 1005526081225 - 2¹ = 1005526081223 is a prime.

It is a super-2 number, since 2×1005526081225² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1005526081223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10598896 + ... + 10693345.

It is an arithmetic number, because the mean of its divisors is an integer number (103959371565).

Almost surely, 2^{1005526081225} is an apocalyptic number.

It is an amenable number.

1005526081225 is a deficient number, since it is larger than the sum of its proper divisors (241986377555).

1005526081225 is a wasteful number, since it uses less digits than its factorization.

1005526081225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21294140 (or 21294135 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 37.

The spelling of 1005526081225 in words is "one trillion, five billion, five hundred twenty-six million, eighty-one thousand, two hundred twenty-five".