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527313000401 = 1124357958681
BaseRepresentation
bin1111010110001100100…
…11011101011111010001
31212102002100102220002222
413223012103131133101
532114414112003101
61042124431350425
753045210356205
oct7530623353721
91772070386088
10527313000401
111936a5494a00
1286244082415
133a95792b885
141b744860b05
15dab38e401b
hex7ac64dd7d1

527313000401 has 6 divisors (see below), whose sum is σ = 579608504706. Its totient is φ = 479375454800.

The previous prime is 527313000341. The next prime is 527313000449. The reversal of 527313000401 is 104000313725.

It can be written as a sum of positive squares in only one way, i.e., 475064184001 + 52248816400 = 689249^2 + 228580^2 .

It is a de Polignac number, because none of the positive numbers 2k-527313000401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (527313000491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2178979220 + ... + 2178979461.

It is an arithmetic number, because the mean of its divisors is an integer number (96601417451).

Almost surely, 2527313000401 is an apocalyptic number.

It is an amenable number.

527313000401 is a deficient number, since it is larger than the sum of its proper divisors (52295504305).

527313000401 is a wasteful number, since it uses less digits than its factorization.

527313000401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4357958703 (or 4357958692 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The spelling of 527313000401 in words is "five hundred twenty-seven billion, three hundred thirteen million, four hundred one", and thus it is an aban number.

Divisors: 1 11 121 4357958681 47937545491 527313000401