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1331402553 = 321341277549
BaseRepresentation
bin100111101011011…
…1001011100111001
310102210021020221200
41033112321130321
510211314340203
6340040324413
744664510045
oct11726713471
93383236850
101331402553
116235a6498
12311a73709
13182ab1480
14c8b77025
157bd449a3
hex4f5b9739

1331402553 has 24 divisors (see below), whose sum is σ = 2121592200. Its totient is φ = 799338240.

The previous prime is 1331402551. The next prime is 1331402573. The reversal of 1331402553 is 3552041331.

It can be written as a sum of positive squares in 4 ways, for example, as 85877289 + 1245525264 = 9267^2 + 35292^2 .

It is not a de Polignac number, because 1331402553 - 21 = 1331402551 is a prime.

It is a super-3 number, since 3×13314025533 (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1331402551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133978 + ... + 143571.

It is an arithmetic number, because the mean of its divisors is an integer number (88399675).

Almost surely, 21331402553 is an apocalyptic number.

1331402553 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1331402553 is a deficient number, since it is larger than the sum of its proper divisors (790189647).

1331402553 is a wasteful number, since it uses less digits than its factorization.

1331402553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277609 (or 277606 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 1331402553 is about 36488.3892902934. The cubic root of 1331402553 is about 1100.1108849652.

Adding to 1331402553 its reverse (3552041331), we get a palindrome (4883443884).

The spelling of 1331402553 in words is "one billion, three hundred thirty-one million, four hundred two thousand, five hundred fifty-three".

Divisors: 1 3 9 13 39 41 117 123 369 533 1599 4797 277549 832647 2497941 3608137 10824411 11379509 32473233 34138527 102415581 147933617 443800851 1331402553