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291164988557 is a prime number
BaseRepresentation
bin1000011110010101100…
…10010010010010001101
31000211112210021221111002
410033022302102102031
514232301214113212
6341432004110045
730015224365442
oct4171262222215
91024483257432
10291164988557
11102534055453
124851a695325
13215c25c78a1
14101419d79c9
157891c22ac2
hex43cac9248d

291164988557 has 2 divisors, whose sum is σ = 291164988558. Its totient is φ = 291164988556.

The previous prime is 291164988533. The next prime is 291164988559. The reversal of 291164988557 is 755889461192.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 180534911236 + 110630077321 = 424894^2 + 332611^2 .

It is a cyclic number.

It is not a de Polignac number, because 291164988557 - 220 = 291163939981 is a prime.

It is a super-2 number, since 2×2911649885572 (a number of 24 digits) contains 22 as substring.

Together with 291164988559, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 291164988493 and 291164988502.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (291164988559) 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, 145582494278 + 145582494279.

It is an arithmetic number, because the mean of its divisors is an integer number (145582494279).

Almost surely, 2291164988557 is an apocalyptic number.

It is an amenable number.

291164988557 is a deficient number, since it is larger than the sum of its proper divisors (1).

291164988557 is an equidigital number, since it uses as much as digits as its factorization.

291164988557 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 43545600, while the sum is 65.

It can be divided in two parts, 291164 and 988557, that added together give a palindrome (1279721).

The spelling of 291164988557 in words is "two hundred ninety-one billion, one hundred sixty-four million, nine hundred eighty-eight thousand, five hundred fifty-seven".