111135977831025 has 315 divisors, whose sum is σ = 240524489493211. Its totient is φ = 50730633344160.

The previous prime is 111135977830991. The next prime is 111135977831063. The reversal of 111135977831025 is 520138779531111.

It is a happy number.

The square root of 111135977831025 is 10542105.

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

111135977831025 is a `hidden beast` number, since 1 + 1 + 1 + 13 + 597 + 7 + 8 + 3 + 10 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 40008952019169 + 71127025811856 = 6325263^2 + 8433684^2 .

It is a tau number, because it is divible by the number of its divisors (315).

It is not a de Polignac number, because 111135977831025 - 2¹¹ = 111135977828977 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 314 ways as a sum of consecutive naturals, for example, 162717390334 + ... + 162717391016.

Almost surely, 2^{111135977831025} is an apocalyptic number.

111135977831025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

111135977831025 is the 10542105-th square number.

111135977831025 is the 5271053-rd centered octagonal number.

It is an amenable number.

111135977831025 is an abundant number, since it is smaller than the sum of its proper divisors (129388511662186).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111135977831025 is an frugal number, since it uses more digits than its factorization.

111135977831025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 54.

The spelling of 111135977831025 in words is "one hundred eleven trillion, one hundred thirty-five billion, nine hundred seventy-seven million, eight hundred thirty-one thousand, twenty-five".