Search a number
-
+
12521552505 = 3571124212341
BaseRepresentation
bin10111010100101011…
…11011101001111001
31012022122111202212220
423222111323221321
5201121004140010
65430300154253
7622203303660
oct135225735171
935278452786
1012521552505
1153460a9800
122515538989
131247224887
1486adc3dd7
154d4444970
hex2ea57ba79

12521552505 has 96 divisors (see below), whose sum is σ = 25237841664. Its totient is φ = 5189184000.

The previous prime is 12521552503. The next prime is 12521552507. The reversal of 12521552505 is 50525512521.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12521552503) and next prime (12521552507).

It is not a de Polignac number, because 12521552505 - 21 = 12521552503 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (12521552503) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5347635 + ... + 5349975.

It is an arithmetic number, because the mean of its divisors is an integer number (262894184).

Almost surely, 212521552505 is an apocalyptic number.

12521552505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12521552505 is an abundant number, since it is smaller than the sum of its proper divisors (12716289159).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12521552505 is a wasteful number, since it uses less digits than its factorization.

12521552505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 25000, while the sum is 33.

The spelling of 12521552505 in words is "twelve billion, five hundred twenty-one million, five hundred fifty-two thousand, five hundred five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 121 165 231 363 385 421 605 847 1155 1263 1815 2105 2341 2541 2947 4235 4631 6315 7023 8841 11705 12705 13893 14735 16387 23155 25751 32417 35115 44205 49161 50941 69465 77253 81935 97251 128755 152823 162085 180257 245805 254705 283261 356587 386265 486255 540771 764115 849783 901285 985561 1069761 1416305 1782935 1982827 2703855 2956683 4248915 4927805 5348805 5948481 6898927 9914135 10841171 14783415 20696781 29742405 32523513 34494635 54205855 75888197 103483905 119252881 162617565 227664591 357758643 379440985 596264405 834770167 1138322955 1788793215 2504310501 4173850835 12521552505