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1681153825 = 52137337057
BaseRepresentation
bin110010000110100…
…0101111100100001
311100011101110111111
41210031011330201
511420333410300
6434452543321
756442400051
oct14415057441
94304343444
101681153825
11792a7082a
123ab021b41
1320a3ab3a0
1411d3bb561
159c8ce9ba
hex64345f21

1681153825 has 24 divisors (see below), whose sum is σ = 2248368248. Its totient is φ = 1239598080.

The previous prime is 1681153813. The next prime is 1681153829. The reversal of 1681153825 is 5283511861.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1547536 + 1679606289 = 1244^2 + 40983^2 .

It is not a de Polignac number, because 1681153825 - 213 = 1681145633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1681153829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234697 + ... + 241753.

Almost surely, 21681153825 is an apocalyptic number.

It is an amenable number.

1681153825 is a deficient number, since it is larger than the sum of its proper divisors (567214423).

1681153825 is a wasteful number, since it uses less digits than its factorization.

1681153825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7813 (or 7808 counting only the distinct ones).

The product of its digits is 57600, while the sum is 40.

The square root of 1681153825 is about 41001.8758717208. The cubic root of 1681153825 is about 1189.0564808805.

The spelling of 1681153825 in words is "one billion, six hundred eighty-one million, one hundred fifty-three thousand, eight hundred twenty-five".

Divisors: 1 5 13 25 65 325 733 3665 7057 9529 18325 35285 47645 91741 176425 238225 458705 2293525 5172781 25863905 67246153 129319525 336230765 1681153825