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2513057805 = 345472532
BaseRepresentation
bin1001010111001010…
…0011100000001101
320111010202120020000
42111302203200031
520121320322210
61053211314513
7116163432066
oct22562434015
96433676200
102513057805
11107a612585
125a174ba39
13310851a6b
1419ba8d56d
15ea959ac0
hex95ca380d

2513057805 has 90 divisors (see below), whose sum is σ = 4691260266. Its totient is φ = 1287029952.

The previous prime is 2513057801. The next prime is 2513057837. The reversal of 2513057805 is 5087503152.

2513057805 is a `hidden beast` number, since 2 + 51 + 30 + 578 + 0 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 687803076 + 1825254729 = 26226^2 + 42723^2 .

It is not a de Polignac number, because 2513057805 - 22 = 2513057801 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2513057805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2513057801) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 47416159 + ... + 47416211.

Almost surely, 22513057805 is an apocalyptic number.

It is an amenable number.

2513057805 is a deficient number, since it is larger than the sum of its proper divisors (2178202461).

2513057805 is an frugal number, since it uses more digits than its factorization.

2513057805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 2513057805 is about 50130.4079875678. The cubic root of 2513057805 is about 1359.5676619202.

The spelling of 2513057805 in words is "two billion, five hundred thirteen million, fifty-seven thousand, eight hundred five".

Divisors: 1 3 5 9 15 27 45 47 53 81 135 141 159 235 265 405 423 477 705 795 1269 1431 2115 2209 2385 2491 2809 3807 4293 6345 6627 7155 7473 8427 11045 12455 14045 19035 19881 21465 22419 25281 33135 37365 42135 59643 67257 75843 99405 112095 117077 126405 132023 178929 201771 227529 298215 336285 351231 379215 396069 585385 660115 894645 1008855 1053693 1137645 1188207 1756155 1980345 3161079 3564621 5268465 5941035 6205081 9483237 10693863 15805395 17823105 18615243 31025405 47416185 53469315 55845729 93076215 167537187 279228645 502611561 837685935 2513057805