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2130053625 = 33537293109
BaseRepresentation
bin111111011110110…
…0000100111111001
312111110001221021000
41332331200213321
513330243204000
6551210235213
7103533104610
oct17675404771
95443057230
102130053625
119a33a58a7
124b5425b09
1327c3b137b
14162c70877
15c7002000
hex7ef609f9

2130053625 has 128 divisors (see below), whose sum is σ = 4657536000. Its totient is φ = 939859200.

The previous prime is 2130053609. The next prime is 2130053647. The reversal of 2130053625 is 5263500312.

2130053625 is a `hidden beast` number, since 2 + 1 + 30 + 0 + 5 + 3 + 625 = 666.

It is not a de Polignac number, because 2130053625 - 24 = 2130053609 is a prime.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 683571 + ... + 686679.

It is an arithmetic number, because the mean of its divisors is an integer number (36387000).

Almost surely, 22130053625 is an apocalyptic number.

2130053625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2130053625 is an abundant number, since it is smaller than the sum of its proper divisors (2527482375).

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

2130053625 is a wasteful number, since it uses less digits than its factorization.

2130053625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3169 (or 3153 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 2130053625 is about 46152.5039949080. The cubic root of 2130053625 is about 1286.6591487103.

Adding to 2130053625 its reverse (5263500312), we get a palindrome (7393553937).

The spelling of 2130053625 in words is "two billion, one hundred thirty million, fifty-three thousand, six hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 29 35 45 63 75 87 105 125 135 145 175 189 203 225 261 315 375 435 525 609 675 725 783 875 945 1015 1125 1305 1575 1827 2175 2625 3045 3109 3375 3625 3915 4725 5075 5481 6525 7875 9135 9327 10875 15225 15545 19575 21763 23625 25375 27405 27981 32625 45675 46635 65289 76125 77725 83943 90161 97875 108815 137025 139905 195867 228375 233175 270483 326445 388625 419715 450805 544075 587601 631127 685125 699525 811449 979335 1165875 1352415 1632225 1893381 2098575 2254025 2434347 2720375 2938005 3155635 3497625 4057245 4896675 5680143 6762075 8161125 9466905 10492875 11270125 12171735 14690025 15778175 17040429 20286225 24483375 28400715 33810375 47334525 60858675 73450125 78890875 85202145 101431125 142003575 236672625 304293375 426010725 710017875 2130053625