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1005152325 = 352232971283
BaseRepresentation
bin111011111010010…
…110100001000101
32121001101000202220
4323322112201011
54024304333300
6243423522553
733623440152
oct7372264105
92531330686
101005152325
11476422901
12240759459
131303223b8
14976cd229
155d39cda0
hex3be96845

1005152325 has 96 divisors (see below), whose sum is σ = 1825597440. Its totient is φ = 486393600.

The previous prime is 1005152297. The next prime is 1005152333. The reversal of 1005152325 is 5232515001.

It is a happy number.

It is not a de Polignac number, because 1005152325 - 28 = 1005152069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1005152295 and 1005152304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3551634 + ... + 3551916.

It is an arithmetic number, because the mean of its divisors is an integer number (19016640).

Almost surely, 21005152325 is an apocalyptic number.

1005152325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005152325 is a deficient number, since it is larger than the sum of its proper divisors (820445115).

1005152325 is a wasteful number, since it uses less digits than its factorization.

1005152325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 1005152325 is about 31704.1373483020. The cubic root of 1005152325 is about 1001.7145004749.

Adding to 1005152325 its reverse (5232515001), we get a palindrome (6237667326).

The spelling of 1005152325 in words is "one billion, five million, one hundred fifty-two thousand, three hundred twenty-five".

Divisors: 1 3 5 15 23 25 29 69 71 75 87 115 145 213 283 345 355 435 575 667 725 849 1065 1415 1633 1725 1775 2001 2059 2175 3335 4245 4899 5325 6177 6509 7075 8165 8207 10005 10295 16675 19527 20093 21225 24495 24621 30885 32545 40825 41035 47357 50025 51475 60279 97635 100465 122475 123105 142071 154425 162725 188761 205175 236785 301395 462139 488175 502325 566283 582697 615525 710355 943805 1183925 1386417 1506975 1748091 2310695 2831415 2913485 3551775 4719025 6932085 8740455 11553475 13402031 14157075 14567425 34660425 40206093 43702275 67010155 201030465 335050775 1005152325