Search a number
-
+
11072521525 = 52131371491669
BaseRepresentation
bin10100100111111100…
…10100010100110101
31001120122220101001211
422103332110110311
5140134031142100
65030414321421
7541246610602
oct122376242465
931518811054
1011072521525
11477217133a
1221901b9271
131075c69ab0
1477078b6a9
1544c1171ba
hex293f94535

11072521525 has 48 divisors (see below), whose sum is σ = 15002946000. Its totient is φ = 8057640960.

The previous prime is 11072521519. The next prime is 11072521531. The reversal of 11072521525 is 52512527011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11072521519) and next prime (11072521531).

It can be written as a sum of positive squares in 24 ways, for example, as 10162051249 + 910470276 = 100807^2 + 30174^2 .

It is not a de Polignac number, because 11072521525 - 29 = 11072521013 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6633391 + ... + 6635059.

It is an arithmetic number, because the mean of its divisors is an integer number (312561375).

Almost surely, 211072521525 is an apocalyptic number.

It is an amenable number.

11072521525 is a deficient number, since it is larger than the sum of its proper divisors (3930424475).

11072521525 is a wasteful number, since it uses less digits than its factorization.

11072521525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1978 (or 1973 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 31.

The spelling of 11072521525 in words is "eleven billion, seventy-two million, five hundred twenty-one thousand, five hundred twenty-five".

Divisors: 1 5 13 25 65 137 149 325 685 745 1669 1781 1937 3425 3725 8345 8905 9685 20413 21697 41725 44525 48425 102065 108485 228653 248681 265369 510325 542425 1143265 1243405 1326845 2972489 3232853 5716325 6217025 6634225 14862445 16164265 34069297 74312225 80821325 170346485 442900861 851732425 2214504305 11072521525