11505358722025 has 81 divisors (see below), whose sum is σ = 16714028716119. Its totient is φ = 7833625097760.

The previous prime is 11505358721959. The next prime is 11505358722061. The reversal of 11505358722025 is 52022785350511.

It is a happy number.

The square root of 11505358722025 is 3391955.

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

It can be written as a sum of positive squares in only one way, i.e., 4141929139929 + 7363429582096 = 2035173^2 + 2713564^2 .

It is not a de Polignac number, because 11505358722025 - 2⁹ = 11505358721513 is a prime.

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, 23624966332 + ... + 23624966818.

Almost surely, 2^{11505358722025} is an apocalyptic number.

11505358722025 is the 3391955-th square number.

11505358722025 is the 1695978-th centered octagonal number.

It is an amenable number.

11505358722025 is a deficient number, since it is larger than the sum of its proper divisors (5208669994094).

11505358722025 is an frugal number, since it uses more digits than its factorization.

11505358722025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 46.

The spelling of 11505358722025 in words is "eleven trillion, five hundred five billion, three hundred fifty-eight million, seven hundred twenty-two thousand, twenty-five".