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513355416325 = 52349552110657
BaseRepresentation
bin1110111100001100101…
…11100000001100000101
31211002001121210011020121
413132012113200030011
531402322441310300
61031455432101541
752042266020233
oct7360627401405
91732047704217
10513355416325
11188792827454
12835a98348b1
133954205109b
141abbcc69953
15d54838d81a
hex77865e0305

513355416325 has 24 divisors (see below), whose sum is σ = 638560214600. Its totient is φ = 409394995200.

The previous prime is 513355416319. The next prime is 513355416347. The reversal of 513355416325 is 523614553315.

It can be written as a sum of positive squares in 12 ways, for example, as 265161143844 + 248194272481 = 514938^2 + 498191^2 .

It is not a de Polignac number, because 513355416325 - 23 = 513355416317 is a prime.

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, 48165397 + ... + 48176053.

Almost surely, 2513355416325 is an apocalyptic number.

It is an amenable number.

513355416325 is a deficient number, since it is larger than the sum of its proper divisors (125204798275).

513355416325 is a wasteful number, since it uses less digits than its factorization.

513355416325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16537 (or 16532 counting only the distinct ones).

The product of its digits is 810000, while the sum is 43.

The spelling of 513355416325 in words is "five hundred thirteen billion, three hundred fifty-five million, four hundred sixteen thousand, three hundred twenty-five".

Divisors: 1 5 25 349 1745 5521 8725 10657 27605 53285 138025 266425 1926829 3719293 9634145 18596465 48170725 58837297 92982325 294186485 1470932425 20534216653 102671083265 513355416325