Search a number
-
+
2509300397 is a prime number
BaseRepresentation
bin1001010110010000…
…1110001010101101
320110212200200000202
42111210032022231
520114340103042
61052555003245
7116116462412
oct22544161255
96425620022
102509300397
11107848658a
125a0439525
1330cb37746
1419b392109
15ea466632
hex9590e2ad

2509300397 has 2 divisors, whose sum is σ = 2509300398. Its totient is φ = 2509300396.

The previous prime is 2509300361. The next prime is 2509300399. The reversal of 2509300397 is 7930039052.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1628041801 + 881258596 = 40349^2 + 29686^2 .

It is a cyclic number.

It is not a de Polignac number, because 2509300397 - 218 = 2509038253 is a prime.

Together with 2509300399, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2509300397.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2509300399) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1254650198 + 1254650199.

It is an arithmetic number, because the mean of its divisors is an integer number (1254650199).

Almost surely, 22509300397 is an apocalyptic number.

It is an amenable number.

2509300397 is a deficient number, since it is larger than the sum of its proper divisors (1).

2509300397 is an equidigital number, since it uses as much as digits as its factorization.

2509300397 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51030, while the sum is 38.

The square root of 2509300397 is about 50092.9176331345. The cubic root of 2509300397 is about 1358.8897363416.

The spelling of 2509300397 in words is "two billion, five hundred nine million, three hundred thousand, three hundred ninety-seven".