Search a number
-
+
253684258357 is a prime number
BaseRepresentation
bin1110110001000011000…
…0101001011000110101
3220020210200200120110111
43230100300221120311
513124021132231412
6312312502023021
724220350421525
oct3542060513065
9806720616414
10253684258357
1198650172072
12411ba417a71
131abcb46071a
14c3c7c55685
1568eb4c12a7
hex3b10c29635

253684258357 has 2 divisors, whose sum is σ = 253684258358. Its totient is φ = 253684258356.

The previous prime is 253684258343. The next prime is 253684258409. The reversal of 253684258357 is 753852486352.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 191604051076 + 62080207281 = 437726^2 + 249159^2 .

It is a cyclic number.

It is not a de Polignac number, because 253684258357 - 215 = 253684225589 is a prime.

It is a super-2 number, since 2×2536842583572 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (253684258307) 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, 126842129178 + 126842129179.

It is an arithmetic number, because the mean of its divisors is an integer number (126842129179).

Almost surely, 2253684258357 is an apocalyptic number.

It is an amenable number.

253684258357 is a deficient number, since it is larger than the sum of its proper divisors (1).

253684258357 is an equidigital number, since it uses as much as digits as its factorization.

253684258357 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 48384000, while the sum is 58.

The spelling of 253684258357 in words is "two hundred fifty-three billion, six hundred eighty-four million, two hundred fifty-eight thousand, three hundred fifty-seven".