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1333053121 = 29212592
BaseRepresentation
bin100111101110100…
…1100011011000001
310102220101010002211
41033131030123001
510212230144441
6340135542121
745014523151
oct11735143301
93386333084
101333053121
116245235a4
1231252a941
1318323b83a
14c9086761
157c06da81
hex4f74c6c1

1333053121 has 9 divisors (see below), whose sum is σ = 1381703011. Its totient is φ = 1286063464.

The previous prime is 1333053119. The next prime is 1333053133. The reversal of 1333053121 is 1213503331.

It is a happy number.

The square root of 1333053121 is 36511.

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., 699020721 + 634032400 = 26439^2 + 25180^2 .

It is not a de Polignac number, because 1333053121 - 21 = 1333053119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1333053092 and 1333053101.

It is not an unprimeable number, because it can be changed into a prime (1333053221) 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, 1058190 + ... + 1059448.

Almost surely, 21333053121 is an apocalyptic number.

1333053121 is the 36511-st square number.

1333053121 is the 18256-th centered octagonal number.

It is an amenable number.

1333053121 is a deficient number, since it is larger than the sum of its proper divisors (48649890).

1333053121 is an frugal number, since it uses more digits than its factorization.

1333053121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2576 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 22.

The cubic root of 1333053121 is about 1100.5653075013.

Adding to 1333053121 its reverse (1213503331), we get a palindrome (2546556452).

The spelling of 1333053121 in words is "one billion, three hundred thirty-three million, fifty-three thousand, one hundred twenty-one".

Divisors: 1 29 841 1259 36511 1058819 1585081 45967349 1333053121