1115167680225 has 135 divisors (see below), whose sum is σ = 2137283606601. Its totient is φ = 574810084800.

The previous prime is 1115167680131. The next prime is 1115167680269. The reversal of 1115167680225 is 5220867615111.

The square root of 1115167680225 is 1056015.

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 589178529 + 1114578501696 = 24273^2 + 1055736^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a de Polignac number, because none of the positive numbers 2^k-1115167680225 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1473140547 + ... + 1473141303.

Almost surely, 2^{1115167680225} is an apocalyptic number.

1115167680225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1115167680225 is the 1056015-th square number.

1115167680225 is the 528008-th centered octagonal number.

It is an amenable number.

1115167680225 is a deficient number, since it is larger than the sum of its proper divisors (1022115926376).

1115167680225 is an frugal number, since it uses more digits than its factorization.

1115167680225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 1115167680225 in words is "one trillion, one hundred fifteen billion, one hundred sixty-seven million, six hundred eighty thousand, two hundred twenty-five".