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253345541 is a prime number
BaseRepresentation
bin11110001100110…
…11111100000101
3122122201021202012
433012123330011
51004324024131
641050024005
76164254511
oct1706337405
9578637665
10253345541
11120009289
1270a18005
1340644407
142590b141
151739552b
hexf19bf05

253345541 has 2 divisors, whose sum is σ = 253345542. Its totient is φ = 253345540.

The previous prime is 253345523. The next prime is 253345553. The reversal of 253345541 is 145543352.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 228644641 + 24700900 = 15121^2 + 4970^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-253345541 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 253345498 and 253345507.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (253345511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126672770 + 126672771.

It is an arithmetic number, because the mean of its divisors is an integer number (126672771).

Almost surely, 2253345541 is an apocalyptic number.

It is an amenable number.

253345541 is a deficient number, since it is larger than the sum of its proper divisors (1).

253345541 is an equidigital number, since it uses as much as digits as its factorization.

253345541 is an evil number, because the sum of its binary digits is even.

The product of its digits is 36000, while the sum is 32.

The square root of 253345541 is about 15916.8320026317. The cubic root of 253345541 is about 632.7581606922.

Adding to 253345541 its reverse (145543352), we get a palindrome (398888893).

The spelling of 253345541 in words is "two hundred fifty-three million, three hundred forty-five thousand, five hundred forty-one".