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1252101521 = 11532837589
BaseRepresentation
bin100101010100001…
…1000110110010001
310020021001100101102
41022220120312101
510031014222041
6324124514145
743012454516
oct11250306621
93207040342
101252101521
11592862450
122ab3ab955
1316c537298
14bc41330d
1574dcd09b
hex4aa18d91

1252101521 has 16 divisors (see below), whose sum is σ = 1396802880. Its totient is φ = 1112704320.

The previous prime is 1252101491. The next prime is 1252101523. The reversal of 1252101521 is 1251012521.

It is a cyclic number.

It is not a de Polignac number, because 1252101521 - 210 = 1252100497 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1252101493 and 1252101502.

It is not an unprimeable number, because it can be changed into a prime (1252101523) 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 15 ways as a sum of consecutive naturals, for example, 161195 + ... + 168783.

It is an arithmetic number, because the mean of its divisors is an integer number (87300180).

Almost surely, 21252101521 is an apocalyptic number.

1252101521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1252101521 is a deficient number, since it is larger than the sum of its proper divisors (144701359).

1252101521 is a wasteful number, since it uses less digits than its factorization.

1252101521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7936.

The product of its (nonzero) digits is 200, while the sum is 20.

The square root of 1252101521 is about 35385.0465733762. The cubic root of 1252101521 is about 1077.8206856592.

The spelling of 1252101521 in words is "one billion, two hundred fifty-two million, one hundred one thousand, five hundred twenty-one".

Divisors: 1 11 53 283 583 3113 7589 14999 83479 164989 402217 2147687 4424387 23624557 113827411 1252101521