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2503523381 is a prime number
BaseRepresentation
bin1001010100111000…
…1011110000110101
320110110211011110012
42111032023300311
520111400222011
61052231110005
7116016411662
oct22516136065
96413734405
102503523381
1110751a0197
1259a512305
1330b8940a8
1419a6caa69
15e9bc4a8b
hex9538bc35

2503523381 has 2 divisors, whose sum is σ = 2503523382. Its totient is φ = 2503523380.

The previous prime is 2503523303. The next prime is 2503523383. The reversal of 2503523381 is 1833253052.

2503523381 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., 1268000881 + 1235522500 = 35609^2 + 35150^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2503523381 is a prime.

It is a super-2 number, since 2×25035233812 = 12535258638427342322, which contains 22 as substring.

Together with 2503523383, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2503523383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1251761690 + 1251761691.

It is an arithmetic number, because the mean of its divisors is an integer number (1251761691).

Almost surely, 22503523381 is an apocalyptic number.

It is an amenable number.

2503523381 is a deficient number, since it is larger than the sum of its proper divisors (1).

2503523381 is an equidigital number, since it uses as much as digits as its factorization.

2503523381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 2503523381 is about 50035.2214045266. The cubic root of 2503523381 is about 1357.8461041634.

The spelling of 2503523381 in words is "two billion, five hundred three million, five hundred twenty-three thousand, three hundred eighty-one".