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12533520512525 = 523491436506649
BaseRepresentation
bin1011011001100011000000…
…0010011011011000001101
31122101012012121001021200212
42312120300002123120031
53120322122222400100
642353453030132205
72432342215362545
oct266306002333015
948335177037625
1012533520512525
113aa2488643511
1214a50b67b1065
136cbba13a184c
143148a8a28325
1516b05b78c635
hexb663009b60d

12533520512525 has 12 divisors (see below), whose sum is σ = 15586097152500. Its totient is φ = 9998086270080.

The previous prime is 12533520512501. The next prime is 12533520512549. The reversal of 12533520512525 is 52521502533521.

It is an interprime number because it is at equal distance from previous prime (12533520512501) and next prime (12533520512549).

It can be written as a sum of positive squares in 6 ways, for example, as 45452960809 + 12488067551716 = 213197^2 + 3533846^2 .

It is not a de Polignac number, because 12533520512525 - 222 = 12533516318221 is a prime.

It is a super-4 number, since 4×125335205125254 (a number of 53 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 718244600 + ... + 718262049.

It is an arithmetic number, because the mean of its divisors is an integer number (1298841429375).

Almost surely, 212533520512525 is an apocalyptic number.

It is an amenable number.

12533520512525 is a deficient number, since it is larger than the sum of its proper divisors (3052576639975).

12533520512525 is a wasteful number, since it uses less digits than its factorization.

12533520512525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436507008 (or 1436507003 counting only the distinct ones).

The product of its (nonzero) digits is 450000, while the sum is 41.

The spelling of 12533520512525 in words is "twelve trillion, five hundred thirty-three billion, five hundred twenty million, five hundred twelve thousand, five hundred twenty-five".

Divisors: 1 5 25 349 1745 8725 1436506649 7182533245 35912666225 501340820501 2506704102505 12533520512525