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153505053 = 321317711087
BaseRepresentation
bin10010010011001…
…00110100011101
3101200211212100100
421021210310131
5303244130203
623122051313
73542525412
oct1111446435
9350755310
10153505053
1179716689
12434a9b39
1325a583c0
141655c109
15d722ea3
hex9264d1d

153505053 has 48 divisors (see below), whose sum is σ = 256628736. Its totient is φ = 87575040.

The previous prime is 153505049. The next prime is 153505061. The reversal of 153505053 is 350505351.

153505053 is a `hidden beast` number, since 153 + 5 + 0 + 505 + 3 = 666.

It is not a de Polignac number, because 153505053 - 22 = 153505049 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153505003) 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 47 ways as a sum of consecutive naturals, for example, 140676 + ... + 141762.

It is an arithmetic number, because the mean of its divisors is an integer number (5346432).

Almost surely, 2153505053 is an apocalyptic number.

153505053 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

153505053 is a deficient number, since it is larger than the sum of its proper divisors (103123683).

153505053 is a wasteful number, since it uses less digits than its factorization.

153505053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 5625, while the sum is 27.

The square root of 153505053 is about 12389.7156141697. The cubic root of 153505053 is about 535.4359889696.

The spelling of 153505053 in words is "one hundred fifty-three million, five hundred five thousand, fifty-three".

Divisors: 1 3 9 13 17 39 51 71 117 153 213 221 639 663 923 1087 1207 1989 2769 3261 3621 8307 9783 10863 14131 15691 18479 42393 47073 55437 77177 127179 141219 166311 231531 240227 694593 720681 1003301 1312009 2162043 3009903 3936027 9029709 11808081 17056117 51168351 153505053