10921736088025 has 189 divisors, whose sum is σ = 16546762474237. Its totient is φ = 7151069251200.

The previous prime is 10921736088023. The next prime is 10921736088113. The reversal of 10921736088025 is 52088063712901.

It is a happy number.

The square root of 10921736088025 is 3304805.

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 4597134792649 + 6324601295376 = 2144093^2 + 2514876^2 .

It is not a de Polignac number, because 10921736088025 - 2¹ = 10921736088023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10921736088023) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 232377363552 + ... + 232377363598.

Almost surely, 2^{10921736088025} is an apocalyptic number.

10921736088025 is the 3304805-th square number.

10921736088025 is the 1652403-rd centered octagonal number.

It is an amenable number.

10921736088025 is a deficient number, since it is larger than the sum of its proper divisors (5625026386212).

10921736088025 is an frugal number, since it uses more digits than its factorization.

10921736088025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 52.

The spelling of 10921736088025 in words is "ten trillion, nine hundred twenty-one billion, seven hundred thirty-six million, eighty-eight thousand, twenty-five".