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516952051 = 71121993067
BaseRepresentation
bin11110110100000…
…000111111110011
31100000201212220021
4132310000333303
52024314431201
6123144024311
715545006560
oct3664007763
91300655807
10516952051
11245895800
12125162097
138313c0b5
144c929867
15305b5ea1
hex1ed00ff3

516952051 has 24 divisors (see below), whose sum is σ = 652870400. Its totient is φ = 400664880.

The previous prime is 516952039. The next prime is 516952087. The reversal of 516952051 is 150259615.

It is not a de Polignac number, because 516952051 - 215 = 516919283 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 516951998 and 516952016.

It is not an unprimeable number, because it can be changed into a prime (516952151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167020 + ... + 170086.

Almost surely, 2516952051 is an apocalyptic number.

516952051 is a deficient number, since it is larger than the sum of its proper divisors (135918349).

516952051 is a wasteful number, since it uses less digits than its factorization.

516952051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3295 (or 3284 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 34.

The square root of 516952051 is about 22736.5795800512. The cubic root of 516952051 is about 802.5709223267.

The spelling of 516952051 in words is "five hundred sixteen million, nine hundred fifty-two thousand, fifty-one".

Divisors: 1 7 11 77 121 199 847 1393 2189 3067 15323 21469 24079 33737 168553 236159 371107 610333 2597749 4272331 6713663 46995641 73850293 516952051