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5130554625 = 325374491451
BaseRepresentation
bin1001100011100111…
…00000110100000001
3111020120001011211200
410301303200310001
541001410222000
62205033331413
7241065665130
oct46163406401
914216034750
105130554625
1121a3078699
12bb2266b69
13639c0c951
14369567917
15200644500
hex131ce0d01

5130554625 has 96 divisors (see below), whose sum is σ = 10600761600. Its totient is φ = 2338560000.

The previous prime is 5130554623. The next prime is 5130554687. The reversal of 5130554625 is 5264550315.

5130554625 is a `hidden beast` number, since 51 + 30 + 554 + 6 + 25 = 666.

It is not a de Polignac number, because 5130554625 - 21 = 5130554623 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5130554625.

It is not an unprimeable number, because it can be changed into a prime (5130554621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3535150 + ... + 3536600.

It is an arithmetic number, because the mean of its divisors is an integer number (110424600).

Almost surely, 25130554625 is an apocalyptic number.

It is an amenable number.

5130554625 is an abundant number, since it is smaller than the sum of its proper divisors (5470206975).

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

5130554625 is a wasteful number, since it uses less digits than its factorization.

5130554625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 1915 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 5130554625 is about 71627.8899940519. The cubic root of 5130554625 is about 1724.7312750897.

The spelling of 5130554625 in words is "five billion, one hundred thirty million, five hundred fifty-four thousand, six hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 125 175 225 315 375 449 525 875 1125 1347 1451 1575 2245 2625 3143 4041 4353 6735 7255 7875 9429 10157 11225 13059 15715 20205 21765 28287 30471 33675 36275 47145 50785 56125 65295 78575 91413 101025 108825 141435 152355 168375 181375 235725 253925 326475 392875 457065 505125 544125 651499 707175 761775 1178625 1269625 1632375 1954497 2285325 3257495 3535875 3808875 4560493 5863491 9772485 11426625 13681479 16287475 22802465 29317455 41044437 48862425 68407395 81437375 114012325 146587275 205222185 244312125 342036975 570061625 732936375 1026110925 1710184875 5130554625