Search a number
-
+
1353553531 = 117910714557
BaseRepresentation
bin101000010101101…
…1001011001111011
310111022221122101021
41100223121121323
510233002203111
6342151203311
745354005131
oct12053313173
93438848337
101353553531
11635055890
12319376537
13187568965
14cbaa1751
157dc6cd71
hex50ad967b

1353553531 has 16 divisors (see below), whose sum is σ = 1509373440. Its totient is φ = 1203490080.

The previous prime is 1353553507. The next prime is 1353553543.

1353553531 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1353553531 - 219 = 1353029243 is a prime.

It is a super-2 number, since 2×13535535312 = 3664214322565135922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1353553231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85705 + ... + 100261.

It is an arithmetic number, because the mean of its divisors is an integer number (94335840).

Almost surely, 21353553531 is an apocalyptic number.

1353553531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1353553531 is a deficient number, since it is larger than the sum of its proper divisors (155819909).

1353553531 is a wasteful number, since it uses less digits than its factorization.

1353553531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14754.

The product of its digits is 50625, while the sum is 34.

The square root of 1353553531 is about 36790.6717932685. The cubic root of 1353553531 is about 1106.1783273982.

The spelling of 1353553531 in words is "one billion, three hundred fifty-three million, five hundred fifty-three thousand, five hundred thirty-one".

Divisors: 1 11 79 107 869 1177 8453 14557 92983 160127 1150003 1557599 12650033 17133589 123050321 1353553531