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513111040325 = 52132302168581
BaseRepresentation
bin1110111011101111100…
…11010010000101000101
31211001102120221120101122
413131313303102011011
531401322411242300
61031415302203325
752033240610612
oct7356763220505
91731376846348
10513111040325
11188677895114
128353ba23545
133950352a4c0
141ab98615509
15d531bbac85
hex7777cd2145

513111040325 has 24 divisors (see below), whose sum is σ = 685240344936. Its totient is φ = 378890784000.

The previous prime is 513111040303. The next prime is 513111040349. The reversal of 513111040325 is 523040111315.

It can be written as a sum of positive squares in 12 ways, for example, as 400940973601 + 112170066724 = 633199^2 + 334918^2 .

It is a de Polignac number, because none of the positive numbers 2k-513111040325 is a prime.

It is a super-2 number, since 2×5131110403252 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 513111040294 and 513111040303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7447535 + ... + 7516115.

It is an arithmetic number, because the mean of its divisors is an integer number (28551681039).

Almost surely, 2513111040325 is an apocalyptic number.

It is an amenable number.

513111040325 is a deficient number, since it is larger than the sum of its proper divisors (172129304611).

513111040325 is a wasteful number, since it uses less digits than its factorization.

513111040325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91625 (or 91620 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The spelling of 513111040325 in words is "five hundred thirteen billion, one hundred eleven million, forty thousand, three hundred twenty-five".

Divisors: 1 5 13 25 65 325 23021 68581 115105 299273 342905 575525 891553 1496365 1714525 4457765 7481825 22288825 1578803201 7894016005 20524441613 39470080025 102622208065 513111040325