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5157958409 is a prime number
BaseRepresentation
bin1001100110111000…
…00011001100001001
3111022110121102202122
410303130003030021
541030414132114
62211452541025
7241550631422
oct46334031411
914273542678
105157958409
11220759554a
12bbb481775
136427b5cc6
1436d05c649
15202c58e8e
hex133703309

5157958409 has 2 divisors, whose sum is σ = 5157958410. Its totient is φ = 5157958408.

The previous prime is 5157958373. The next prime is 5157958439. The reversal of 5157958409 is 9048597515.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4726150009 + 431808400 = 68747^2 + 20780^2 .

It is a cyclic number.

It is not a de Polignac number, because 5157958409 - 224 = 5141181193 is a prime.

It is a super-2 number, since 2×51579584092 = 53209069897947622562, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (5157958439) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2578979204 + 2578979205.

It is an arithmetic number, because the mean of its divisors is an integer number (2578979205).

Almost surely, 25157958409 is an apocalyptic number.

It is an amenable number.

5157958409 is a deficient number, since it is larger than the sum of its proper divisors (1).

5157958409 is an equidigital number, since it uses as much as digits as its factorization.

5157958409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2268000, while the sum is 53.

The square root of 5157958409 is about 71818.9279298988. The cubic root of 5157958409 is about 1727.7965877147.

The spelling of 5157958409 in words is "five billion, one hundred fifty-seven million, nine hundred fifty-eight thousand, four hundred nine".