22529214785025 has 243 divisors, whose sum is σ = 44315911936881. Its totient is φ = 10935924480000.

The previous prime is 22529214784949. The next prime is 22529214785047. The reversal of 22529214785025 is 52058741292522.

The square root of 22529214785025 is 4746495.

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

22529214785025 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 92 + 1 + 47 + 8 + 502 + 5 = 666.

It can be written as a sum of positive squares in 40 ways, for example, as 20330080014321 + 2199134770704 = 4508889^2 + 1482948^2 .

It is not a de Polignac number, because 22529214785025 - 2⁹ = 22529214784513 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 93482218905 + ... + 93482219145.

Almost surely, 2^{22529214785025} is an apocalyptic number.

22529214785025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22529214785025 is the 4746495-th square number.

22529214785025 is the 2373248-th centered octagonal number.

It is an amenable number.

22529214785025 is a deficient number, since it is larger than the sum of its proper divisors (21786697151856).

22529214785025 is a wasteful number, since it uses less digits than its factorization.

22529214785025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 22529214785025 in words is "twenty-two trillion, five hundred twenty-nine billion, two hundred fourteen million, seven hundred eighty-five thousand, twenty-five".