Search a number
-
+
131053875525 = 32521075443567
BaseRepresentation
bin111101000001101101…
…0110111000101000101
3110112021100222200001200
41322003122313011011
54121344243004100
6140112203213113
712316431363516
oct1720332670505
9415240880050
10131053875525
1150641550441
1221495817199
13c487326111
1464b343ca0d
153620637e00
hex1e836b7145

131053875525 has 36 divisors (see below), whose sum is σ = 236925853632. Its totient is φ = 69242159520.

The previous prime is 131053875523. The next prime is 131053875527. The reversal of 131053875525 is 525578350131.

131053875525 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 53 + 8 + 75 + 525 = 666.

It is an interprime number because it is at equal distance from previous prime (131053875523) and next prime (131053875527).

It is not a de Polignac number, because 131053875525 - 21 = 131053875523 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131053875523) 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 35 ways as a sum of consecutive naturals, for example, 2697709 + ... + 2745858.

It is an arithmetic number, because the mean of its divisors is an integer number (6581273712).

Almost surely, 2131053875525 is an apocalyptic number.

131053875525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131053875525 is a deficient number, since it is larger than the sum of its proper divisors (105871978107).

131053875525 is a wasteful number, since it uses less digits than its factorization.

131053875525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5443690 (or 5443682 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 45.

The spelling of 131053875525 in words is "one hundred thirty-one billion, fifty-three million, eight hundred seventy-five thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 107 225 321 535 963 1605 2675 4815 8025 24075 5443567 16330701 27217835 48992103 81653505 136089175 244960515 408267525 582461669 1224802575 1747385007 2912308345 5242155021 8736925035 14561541725 26210775105 43684625175 131053875525