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53138061 = 3231283673
BaseRepresentation
bin1100101010110…
…1001010001101
310200222200201100
43022231022031
5102100404221
65134533313
71213444314
oct312551215
9120880640
1053138061
1127aa4459
1215967239
13b016852
1470b327b
1549e9926
hex32ad28d

53138061 has 24 divisors (see below), whose sum is σ = 79629056. Its totient is φ = 34110720.

The previous prime is 53138021. The next prime is 53138069. The reversal of 53138061 is 16083135.

53138061 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 53138061 - 27 = 53137933 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53138069) 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 23 ways as a sum of consecutive naturals, for example, 78621 + ... + 79293.

Almost surely, 253138061 is an apocalyptic number.

It is an amenable number.

53138061 is a deficient number, since it is larger than the sum of its proper divisors (26490995).

53138061 is a wasteful number, since it uses less digits than its factorization.

53138061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 53138061 is about 7289.5857907017. The cubic root of 53138061 is about 375.9544539859.

It can be divided in two parts, 531380 and 61, that added together give a 12-th power (531441 = 312).

The spelling of 53138061 in words is "fifty-three million, one hundred thirty-eight thousand, sixty-one".

Divisors: 1 3 9 31 93 279 283 673 849 2019 2547 6057 8773 20863 26319 62589 78957 187767 190459 571377 1714131 5904229 17712687 53138061