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828520601 = 3132518221
BaseRepresentation
bin110001011000100…
…011100010011001
32010202000012121012
4301120203202121
53144100124401
6214114023305
726350210646
oct6130434231
92122005535
10828520601
11395750877
121b1577b35
1310285a69c
147c070dcd
154cb0c8bb
hex31623899

828520601 has 8 divisors (see below), whose sum is σ = 855614208. Its totient is φ = 801450000.

The previous prime is 828520591. The next prime is 828520607. The reversal of 828520601 is 106025828.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-828520601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (828520607) 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 7 ways as a sum of consecutive naturals, for example, 96671 + ... + 104891.

It is an arithmetic number, because the mean of its divisors is an integer number (106951776).

Almost surely, 2828520601 is an apocalyptic number.

It is an amenable number.

828520601 is a deficient number, since it is larger than the sum of its proper divisors (27093607).

828520601 is a wasteful number, since it uses less digits than its factorization.

828520601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11503.

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 828520601 is about 28784.0337861114. The cubic root of 828520601 is about 939.2209483757.

The spelling of 828520601 in words is "eight hundred twenty-eight million, five hundred twenty thousand, six hundred one".

Divisors: 1 31 3251 8221 100781 254851 26726471 828520601