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1253782513 is a prime number
BaseRepresentation
bin100101010111011…
…0011001111110001
310020101012202021101
41022232303033301
510031432020023
6324224524401
743032655414
oct11256631761
93211182241
101253782513
115938003a5
122aba80701
1316c9a5459
14bc72db7b
15751111ad
hex4abb33f1

1253782513 has 2 divisors, whose sum is σ = 1253782514. Its totient is φ = 1253782512.

The previous prime is 1253782511. The next prime is 1253782567. The reversal of 1253782513 is 3152873521.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 732893184 + 520889329 = 27072^2 + 22823^2 .

It is a cyclic number.

It is not a de Polignac number, because 1253782513 - 21 = 1253782511 is a prime.

Together with 1253782511, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1253782511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 626891256 + 626891257.

It is an arithmetic number, because the mean of its divisors is an integer number (626891257).

Almost surely, 21253782513 is an apocalyptic number.

It is an amenable number.

1253782513 is a deficient number, since it is larger than the sum of its proper divisors (1).

1253782513 is an equidigital number, since it uses as much as digits as its factorization.

1253782513 is an evil number, because the sum of its binary digits is even.

The product of its digits is 50400, while the sum is 37.

The square root of 1253782513 is about 35408.7914648326. The cubic root of 1253782513 is about 1078.3028078402.

The spelling of 1253782513 in words is "one billion, two hundred fifty-three million, seven hundred eighty-two thousand, five hundred thirteen".