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253203460493 is a prime number
BaseRepresentation
bin1110101111010000011…
…0100011000110001101
3220012120011222111210012
43223310012203012031
513122030041213433
6312153044523005
724202421621504
oct3536406430615
9805504874705
10253203460493
1198423830565
12410a53b0465
131ab5296c849
14c38005b83b
1568be19c848
hex3af41a318d

253203460493 has 2 divisors, whose sum is σ = 253203460494. Its totient is φ = 253203460492.

The previous prime is 253203460427. The next prime is 253203460501. The reversal of 253203460493 is 394064302352.

253203460493 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., 247777959529 + 5425500964 = 497773^2 + 73658^2 .

It is a cyclic number.

It is not a de Polignac number, because 253203460493 - 218 = 253203198349 is a prime.

It is a super-2 number, since 2×2532034604932 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 253203460493.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (253203460793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126601730246 + 126601730247.

It is an arithmetic number, because the mean of its divisors is an integer number (126601730247).

Almost surely, 2253203460493 is an apocalyptic number.

It is an amenable number.

253203460493 is a deficient number, since it is larger than the sum of its proper divisors (1).

253203460493 is an equidigital number, since it uses as much as digits as its factorization.

253203460493 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 466560, while the sum is 41.

The spelling of 253203460493 in words is "two hundred fifty-three billion, two hundred three million, four hundred sixty thousand, four hundred ninety-three".