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252545013 = 3371783947
BaseRepresentation
bin11110000110110…
…00011111110101
3122121012121122000
433003120133311
51004122420023
641020525513
76154411560
oct1703303765
9577177560
10252545013
1111a611896
12706b0899
1340423c26
142577d4d7
1517288243
hexf0d87f5

252545013 has 64 divisors (see below), whose sum is σ = 458680320. Its totient is φ = 134044416.

The previous prime is 252545011. The next prime is 252545023. The reversal of 252545013 is 310545252.

It is a happy number.

It is not a de Polignac number, because 252545013 - 21 = 252545011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252545011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 266206 + ... + 267152.

It is an arithmetic number, because the mean of its divisors is an integer number (7166880).

Almost surely, 2252545013 is an apocalyptic number.

It is an amenable number.

252545013 is a deficient number, since it is larger than the sum of its proper divisors (206135307).

252545013 is a wasteful number, since it uses less digits than its factorization.

252545013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 252545013 is about 15891.6648907533. The cubic root of 252545013 is about 632.0909887758.

The spelling of 252545013 in words is "two hundred fifty-two million, five hundred forty-five thousand, thirteen".

Divisors: 1 3 7 9 17 21 27 51 63 83 119 153 189 249 357 459 581 747 947 1071 1411 1743 2241 2841 3213 4233 5229 6629 8523 9877 12699 15687 16099 19887 25569 29631 38097 48297 59661 78601 88893 112693 144891 178983 235803 266679 338079 434673 550207 707409 1014237 1336217 1650621 2122227 3042711 4008651 4951863 9353519 12025953 14855589 28060557 36077859 84181671 252545013