Search a number
-
+
2785257997 is a prime number
BaseRepresentation
bin1010011000000011…
…1010101000001101
321012002221202200121
42212000322220031
521201011223442
61140213424541
7126010205464
oct24600725015
97162852617
102785257997
1111aa229615
1265893b151
13355068172
141c5ca79db
151147c6967
hexa603aa0d

2785257997 has 2 divisors, whose sum is σ = 2785257998. Its totient is φ = 2785257996.

The previous prime is 2785257973. The next prime is 2785258009. The reversal of 2785257997 is 7997525872.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2739370921 + 45887076 = 52339^2 + 6774^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2785257997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2785257907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1392628998 + 1392628999.

It is an arithmetic number, because the mean of its divisors is an integer number (1392628999).

Almost surely, 22785257997 is an apocalyptic number.

It is an amenable number.

2785257997 is a deficient number, since it is larger than the sum of its proper divisors (1).

2785257997 is an equidigital number, since it uses as much as digits as its factorization.

2785257997 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 22226400, while the sum is 61.

The square root of 2785257997 is about 52775.5435500195. The cubic root of 2785257997 is about 1406.9817901389.

It can be divided in two parts, 27852 and 57997, that added together give a square (85849 = 2932).

The spelling of 2785257997 in words is "two billion, seven hundred eighty-five million, two hundred fifty-seven thousand, nine hundred ninety-seven".