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513512245524132 = 2232121311759463349
BaseRepresentation
bin111010011000010010110001…
…0111110110111011010100100
32111100012021212022101222002100
41310300211202332313122210
51014301341034323233012
65020052134025412100
7213110015103023331
oct16460454276673244
92440167768358070
10513512245524132
111396913583a8538
124971614403a030
131906bcc6467a2a
1490b41a7b55988
153e57972c868dc
hex1d30962fb76a4

513512245524132 has 36 divisors (see below), whose sum is σ = 1299114954127900. Its totient is φ = 171029634933312.

The previous prime is 513512245524127. The next prime is 513512245524137. The reversal of 513512245524132 is 231425542215315.

513512245524132 is a `hidden beast` number, since 5 + 1 + 3 + 5 + 1 + 2 + 24 + 552 + 41 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (513512245524127) and next prime (513512245524137).

It can be written as a sum of positive squares in 2 ways, for example, as 118106338170276 + 395405907353856 = 10867674^2 + 19884816^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (513512245524137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5879688007 + ... + 5879775342.

Almost surely, 2513512245524132 is an apocalyptic number.

It is an amenable number.

513512245524132 is an abundant number, since it is smaller than the sum of its proper divisors (785602708603768).

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

513512245524132 is a wasteful number, since it uses less digits than its factorization.

513512245524132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11759464572 (or 11759464567 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 45.

Adding to 513512245524132 its reverse (231425542215315), we get a palindrome (744937787739447).

The spelling of 513512245524132 in words is "five hundred thirteen trillion, five hundred twelve billion, two hundred forty-five million, five hundred twenty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1213 2426 3639 4852 7278 10917 14556 21834 43668 11759463349 23518926698 35278390047 47037853396 70556780094 105835170141 141113560188 211670340282 423340680564 14264229042337 28528458084674 42792687127011 57056916169348 85585374254022 128378061381033 171170748508044 256756122762066 513512245524132