Search a number
-
+
251349971573 is a prime number
BaseRepresentation
bin1110101000010110100…
…0000011001001110101
3220000210000022111222102
43222011220003021311
513104231043042243
6311245114111445
724105454335641
oct3520550031165
9800700274872
10251349971573
1197662562938
124086871b585
131a91897233c
14c245c1dc21
1568115ca9b8
hex3a85a03275

251349971573 has 2 divisors, whose sum is σ = 251349971574. Its totient is φ = 251349971572.

The previous prime is 251349971461. The next prime is 251349971627. The reversal of 251349971573 is 375179943152.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 234262776049 + 17087195524 = 484007^2 + 130718^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-251349971573 is a prime.

It is a super-4 number, since 4×2513499715734 (a number of 47 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (251349974573) 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, 125674985786 + 125674985787.

It is an arithmetic number, because the mean of its divisors is an integer number (125674985787).

Almost surely, 2251349971573 is an apocalyptic number.

It is an amenable number.

251349971573 is a deficient number, since it is larger than the sum of its proper divisors (1).

251349971573 is an equidigital number, since it uses as much as digits as its factorization.

251349971573 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7144200, while the sum is 56.

The spelling of 251349971573 in words is "two hundred fifty-one billion, three hundred forty-nine million, nine hundred seventy-one thousand, five hundred seventy-three".