Search a number
-
+
5857387513 is a prime number
BaseRepresentation
bin1010111010010000…
…01010001111111001
3120010012201010010021
411131020022033321
543443442400023
62405120050441
7265102654345
oct53510121771
916105633107
105857387513
112536384a2a
121175763a21
13724685593
143d7cc8625
1524436735d
hex15d20a3f9

5857387513 has 2 divisors, whose sum is σ = 5857387514. Its totient is φ = 5857387512.

The previous prime is 5857387511. The next prime is 5857387577. The reversal of 5857387513 is 3157837585.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5855769529 + 1617984 = 76523^2 + 1272^2 .

It is a cyclic number.

It is not a de Polignac number, because 5857387513 - 21 = 5857387511 is a prime.

Together with 5857387511, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (5857387511) 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 as a sum of consecutive naturals, namely, 2928693756 + 2928693757.

It is an arithmetic number, because the mean of its divisors is an integer number (2928693757).

Almost surely, 25857387513 is an apocalyptic number.

It is an amenable number.

5857387513 is a deficient number, since it is larger than the sum of its proper divisors (1).

5857387513 is an equidigital number, since it uses as much as digits as its factorization.

5857387513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3528000, while the sum is 52.

The square root of 5857387513 is about 76533.5711501822. The cubic root of 5857387513 is about 1802.6081032270.

The spelling of 5857387513 in words is "five billion, eight hundred fifty-seven million, three hundred eighty-seven thousand, five hundred thirteen".