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63252137 = 1322411553
BaseRepresentation
bin1111000101001…
…0011010101001
311102000112121202
43301102122221
5112143032022
610135413545
71365430364
oct361223251
9142015552
1063252137
11327822a3
12192242b5
1310148300
1485870db
155846592
hex3c526a9

63252137 has 12 divisors (see below), whose sum is σ = 68820444. Its totient is φ = 58106880.

The previous prime is 63252109. The next prime is 63252149. The reversal of 63252137 is 73125236.

63252137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 13957696 + 49294441 = 3736^2 + 7021^2 .

It is not a de Polignac number, because 63252137 - 26 = 63252073 is a prime.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (63252107) 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 11 ways as a sum of consecutive naturals, for example, 39953 + ... + 41505.

It is an arithmetic number, because the mean of its divisors is an integer number (5735037).

Almost surely, 263252137 is an apocalyptic number.

It is an amenable number.

63252137 is a deficient number, since it is larger than the sum of its proper divisors (5568307).

63252137 is a wasteful number, since it uses less digits than its factorization.

63252137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1807 counting only the distinct ones).

The product of its digits is 7560, while the sum is 29.

The square root of 63252137 is about 7953.1212111975. The cubic root of 63252137 is about 398.4358435928.

The spelling of 63252137 in words is "sixty-three million, two hundred fifty-two thousand, one hundred thirty-seven".

Divisors: 1 13 169 241 1553 3133 20189 40729 262457 374273 4865549 63252137