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153325031525 = 5260131373253
BaseRepresentation
bin1000111011001011100…
…0100101000001100101
3112122202111002121122022
42032302320211001211
510003002202002100
6154234143312525
714035352156501
oct2166270450145
9478674077568
10153325031525
115a02aa8a596
12258702ab745
13115c63b7133
1475c7205301
153ec5978e85
hex23b2e25065

153325031525 has 24 divisors (see below), whose sum is σ = 190558652424. Its totient is φ = 122379264000.

The previous prime is 153325031477. The next prime is 153325031533. The reversal of 153325031525 is 525130523351.

It can be written as a sum of positive squares in 12 ways, for example, as 21644588641 + 131680442884 = 147121^2 + 362878^2 .

It is a de Polignac number, because none of the positive numbers 2k-153325031525 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 47131799 + ... + 47135051.

It is an arithmetic number, because the mean of its divisors is an integer number (7939943851).

Almost surely, 2153325031525 is an apocalyptic number.

It is an amenable number.

153325031525 is a deficient number, since it is larger than the sum of its proper divisors (37233620899).

153325031525 is a wasteful number, since it uses less digits than its factorization.

153325031525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7001 (or 6996 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 35.

Adding to 153325031525 its reverse (525130523351), we get a palindrome (678455554876).

The spelling of 153325031525 in words is "one hundred fifty-three billion, three hundred twenty-five million, thirty-one thousand, five hundred twenty-five".

Divisors: 1 5 25 601 3005 3137 3253 15025 15685 16265 78425 81325 1885337 1955053 9426685 9775265 10204661 47133425 48876325 51023305 255116525 6133001261 30665006305 153325031525