1056965121 has 9 divisors (see below), whose sum is σ = 1526868291. Its totient is φ = 704578392.

The previous prime is 1056965111. The next prime is 1056965131. The reversal of 1056965121 is 1215696501.

The square root of 1056965121 is 32511.

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

1056965121 is a `hidden beast` number, since 1 + 0 + 56 + 96 + 512 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (1056965111) and next prime (1056965131).

It can be written as a sum of positive squares in only one way, i.e., 225450225 + 831514896 = 15015^2 + 28836^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1056965121 - 2²³ = 1048576513 is a prime.

It is a super-2 number, since 2×1056965121² = 2234350534021089282, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1056965111) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 92115 + ... + 102951.

Almost surely, 2^1056965121 is an apocalyptic number.

1056965121 is the 32511-st square number.

1056965121 is the 16256-th centered octagonal number.

It is an amenable number.

1056965121 is a deficient number, since it is larger than the sum of its proper divisors (469903170).

1056965121 is an frugal number, since it uses more digits than its factorization.

1056965121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21680 (or 10840 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The cubic root of 1056965121 is about 1018.6388100209.

Multiplying 1056965121 by its sum of digits (36), we get a square (38050744356 = 195066²).

The spelling of 1056965121 in words is "one billion, fifty-six million, nine hundred sixty-five thousand, one hundred twenty-one".