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1601061525 = 33527248407
BaseRepresentation
bin101111101101110…
…0100001010010101
311010120200100112000
41133123210022111
511234332432100
6422512145513
754450540600
oct13733441225
94116610460
101601061525
11751837248
12388238299
131c6917cab
141128cd337
159585d900
hex5f6e4295

1601061525 has 72 divisors (see below), whose sum is σ = 3421477440. Its totient is φ = 731898720.

The previous prime is 1601061523. The next prime is 1601061559. The reversal of 1601061525 is 5251601061.

It is a happy number.

1601061525 is a `hidden beast` number, since 1 + 601 + 0 + 6 + 1 + 52 + 5 = 666.

It is not a de Polignac number, because 1601061525 - 21 = 1601061523 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1601061523) 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 71 ways as a sum of consecutive naturals, for example, 8872 + ... + 57278.

It is an arithmetic number, because the mean of its divisors is an integer number (47520520).

Almost surely, 21601061525 is an apocalyptic number.

1601061525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1601061525 is an abundant number, since it is smaller than the sum of its proper divisors (1820415915).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1601061525 is a wasteful number, since it uses less digits than its factorization.

1601061525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48440 (or 48422 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1601061525 is about 40013.2668623795. The cubic root of 1601061525 is about 1169.8656979308.

Adding to 1601061525 its reverse (5251601061), we get a palindrome (6852662586).

The spelling of 1601061525 in words is "one billion, six hundred one million, sixty-one thousand, five hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 49 63 75 105 135 147 175 189 225 245 315 441 525 675 735 945 1225 1323 1575 2205 3675 4725 6615 11025 33075 48407 145221 242035 338849 435663 726105 1016547 1210175 1306989 1694245 2178315 2371943 3049641 3630525 5082735 6534945 7115829 8471225 9148923 10891575 11859715 15248205 21347487 25413675 32674725 35579145 45744615 59298575 64042461 76241025 106737435 177895725 228723075 320212305 533687175 1601061525