1011181080625 has 135 divisors (see below), whose sum is σ = 1400325934293. Its totient is φ = 729806112000.

The previous prime is 1011181080617. The next prime is 1011181080671. The reversal of 1011181080625 is 5260801811101.

The square root of 1011181080625 is 1005575.

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

It can be written as a sum of positive squares in 22 ways, for example, as 974530275489 + 36650805136 = 987183^2 + 191444^2 .

It is not a de Polignac number, because 1011181080625 - 2³ = 1011181080617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 13851795589 + ... + 13851795661.

Almost surely, 2^{1011181080625} is an apocalyptic number.

1011181080625 is the 1005575-th square number.

1011181080625 is the 502788-th centered octagonal number.

It is an amenable number.

1011181080625 is a deficient number, since it is larger than the sum of its proper divisors (389144853668).

1011181080625 is an frugal number, since it uses more digits than its factorization.

1011181080625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 34.

Adding to 1011181080625 its reverse (5260801811101), we get a palindrome (6271982891726).

The spelling of 1011181080625 in words is "one trillion, eleven billion, one hundred eighty-one million, eighty thousand, six hundred twenty-five".