Search a number
-
+
2553191819 is a prime number
BaseRepresentation
bin1001100000101110…
…1001110110001011
320120221021120201222
42120023221312023
520212104114234
61101203432255
7120161525633
oct23013516613
96527246658
102553191819
1110a0234892
125b308568b
13318c645b9
141a31396c3
15ee23642e
hex982e9d8b

2553191819 has 2 divisors, whose sum is σ = 2553191820. Its totient is φ = 2553191818.

The previous prime is 2553191777. The next prime is 2553191831. The reversal of 2553191819 is 9181913552.

2553191819 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2553191819 is a prime.

It is a super-2 number, since 2×25531918192 = 13037576929217057522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2553191819.

It is not a weakly prime, because it can be changed into another prime (2553191119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1276595909 + 1276595910.

It is an arithmetic number, because the mean of its divisors is an integer number (1276595910).

Almost surely, 22553191819 is an apocalyptic number.

2553191819 is a deficient number, since it is larger than the sum of its proper divisors (1).

2553191819 is an equidigital number, since it uses as much as digits as its factorization.

2553191819 is an evil number, because the sum of its binary digits is even.

The product of its digits is 97200, while the sum is 44.

The square root of 2553191819 is about 50529.1185258560. The cubic root of 2553191819 is about 1366.7669905400.

The spelling of 2553191819 in words is "two billion, five hundred fifty-three million, one hundred ninety-one thousand, eight hundred nineteen".