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1253145557 is a prime number
BaseRepresentation
bin100101010110001…
…0111101111010101
310020100000101112102
41022230113233111
510031301124212
6324203131445
743024363406
oct11254275725
93210011472
101253145557
11593405894
122ab813b85
1316c811561
14bc6059ad
15750375c2
hex4ab17bd5

1253145557 has 2 divisors, whose sum is σ = 1253145558. Its totient is φ = 1253145556.

The previous prime is 1253145539. The next prime is 1253145559. The reversal of 1253145557 is 7555413521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 798006001 + 455139556 = 28249^2 + 21334^2 .

It is a cyclic number.

It is not a de Polignac number, because 1253145557 - 26 = 1253145493 is a prime.

It is a super-3 number, since 3×12531455573 (a number of 28 digits) contains 333 as substring.

Together with 1253145559, 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 1253145557.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1253145559) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 626572778 + 626572779.

It is an arithmetic number, because the mean of its divisors is an integer number (626572779).

Almost surely, 21253145557 is an apocalyptic number.

It is an amenable number.

1253145557 is a deficient number, since it is larger than the sum of its proper divisors (1).

1253145557 is an equidigital number, since it uses as much as digits as its factorization.

1253145557 is an evil number, because the sum of its binary digits is even.

The product of its digits is 105000, while the sum is 38.

The square root of 1253145557 is about 35399.7960022371. The cubic root of 1253145557 is about 1078.1201744146.

The spelling of 1253145557 in words is "one billion, two hundred fifty-three million, one hundred forty-five thousand, five hundred fifty-seven".