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2523378217 is a prime number
BaseRepresentation
bin1001011001100111…
…1011001000101001
320111212011220011111
42112121323020221
520131441100332
61054220430321
7116350234543
oct22631731051
96455156144
102523378217
111085421448
125a50a83a1
13312a26409
1419d1b8693
15eb7e7947
hex9667b229

2523378217 has 2 divisors, whose sum is σ = 2523378218. Its totient is φ = 2523378216.

The previous prime is 2523378191. The next prime is 2523378223. The reversal of 2523378217 is 7128733252.

2523378217 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 can be written as a sum of positive squares in only one way, i.e., 1725654681 + 797723536 = 41541^2 + 28244^2 .

It is a cyclic number.

It is not a de Polignac number, because 2523378217 - 219 = 2522853929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2523378217.

It is not a weakly prime, because it can be changed into another prime (2523378317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1261689108 + 1261689109.

It is an arithmetic number, because the mean of its divisors is an integer number (1261689109).

Almost surely, 22523378217 is an apocalyptic number.

It is an amenable number.

2523378217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2523378217 is an equidigital number, since it uses as much as digits as its factorization.

2523378217 is an evil number, because the sum of its binary digits is even.

The product of its digits is 141120, while the sum is 40.

The square root of 2523378217 is about 50233.2381695626. The cubic root of 2523378217 is about 1361.4262389590.

The spelling of 2523378217 in words is "two billion, five hundred twenty-three million, three hundred seventy-eight thousand, two hundred seventeen".