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1355885361 = 32277543877
BaseRepresentation
bin101000011010001…
…0010101100110001
310111111100010001100
41100310102230301
510234101312421
6342313155013
745412556355
oct12064225461
93444303040
101355885361
116363a8816
1231a0bba69
13187ba413c
14cc10b465
157e07dc26
hex50d12b31

1355885361 has 12 divisors (see below), whose sum is σ = 1965575092. Its totient is φ = 900658656.

The previous prime is 1355885341. The next prime is 1355885381. The reversal of 1355885361 is 1635885531.

1355885361 is a `hidden beast` number, since 1 + 3 + 5 + 588 + 5 + 3 + 61 = 666.

It is an interprime number because it is at equal distance from previous prime (1355885341) and next prime (1355885381).

It can be written as a sum of positive squares in 2 ways, for example, as 396806400 + 959078961 = 19920^2 + 30969^2 .

It is not a de Polignac number, because 1355885361 - 210 = 1355884337 is a prime.

It is a super-2 number, since 2×13558853612 = 3676850224348200642, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1355885341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 269446 + ... + 274431.

Almost surely, 21355885361 is an apocalyptic number.

It is an amenable number.

1355885361 is a deficient number, since it is larger than the sum of its proper divisors (609689731).

1355885361 is a wasteful number, since it uses less digits than its factorization.

1355885361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544160 (or 544157 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The square root of 1355885361 is about 36822.3486621916. The cubic root of 1355885361 is about 1106.8131846922.

The spelling of 1355885361 in words is "one billion, three hundred fifty-five million, eight hundred eighty-five thousand, three hundred sixty-one".

Divisors: 1 3 9 277 831 2493 543877 1631631 4894893 150653929 451961787 1355885361