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65013325 = 5213200041
BaseRepresentation
bin1111100000000…
…0011001001101
311112100000111221
43320000121031
5113120411300
610241243341
71416414136
oct370003115
9145300457
1065013325
1133775523
1219933551
1310613b30
1488c4c8d
155a9331a
hex3e0064d

65013325 has 12 divisors (see below), whose sum is σ = 86818228. Its totient is φ = 48009600.

The previous prime is 65013323. The next prime is 65013353. The reversal of 65013325 is 52331056.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2064969 + 62948356 = 1437^2 + 7934^2 .

It is not a de Polignac number, because 65013325 - 21 = 65013323 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

65013325 is a modest number, since divided by 13325 gives 650 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 65013325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65013323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99696 + ... + 100345.

Almost surely, 265013325 is an apocalyptic number.

65013325 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

65013325 is a deficient number, since it is larger than the sum of its proper divisors (21804903).

65013325 is a wasteful number, since it uses less digits than its factorization.

65013325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200064 (or 200059 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 65013325 is about 8063.0840873700. The cubic root of 65013325 is about 402.1000489410.

The spelling of 65013325 in words is "sixty-five million, thirteen thousand, three hundred twenty-five".

Divisors: 1 5 13 25 65 325 200041 1000205 2600533 5001025 13002665 65013325