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125505333 = 3213945037
BaseRepresentation
bin1110111101100…
…00111100110101
322202011022221200
413132300330311
5224112132313
620242003113
73052530522
oct736607465
9282138850
10125505333
1164932018
1236046499
1320003a15
1412950149
15b041b73
hex77b0f35

125505333 has 6 divisors (see below), whose sum is σ = 181285494. Its totient is φ = 83670216.

The previous prime is 125505307. The next prime is 125505361. The reversal of 125505333 is 333505521.

125505333 is a `hidden beast` number, since 125 + 5 + 0 + 533 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 123810129 + 1695204 = 11127^2 + 1302^2 .

It is not a de Polignac number, because 125505333 - 28 = 125505077 is a prime.

It is a super-2 number, since 2×1255053332 = 31503177222881778, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 125505297 and 125505306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125505383) 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 5 ways as a sum of consecutive naturals, for example, 6972510 + ... + 6972527.

It is an arithmetic number, because the mean of its divisors is an integer number (30214249).

Almost surely, 2125505333 is an apocalyptic number.

It is an amenable number.

125505333 is a deficient number, since it is larger than the sum of its proper divisors (55780161).

125505333 is a wasteful number, since it uses less digits than its factorization.

125505333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13945043 (or 13945040 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The square root of 125505333 is about 11202.9162721141. The cubic root of 125505333 is about 500.6728714153.

The spelling of 125505333 in words is "one hundred twenty-five million, five hundred five thousand, three hundred thirty-three".

Divisors: 1 3 9 13945037 41835111 125505333