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1257910292413 is a prime number
BaseRepresentation
bin10010010011100001010…
…010111100111110111101
311110020212221010202211101
4102103201102330332331
5131102200013324123
62401513115053101
7156611122031545
oct22234122747675
94406787122741
101257910292413
11445527625995
1218395b741191
139180b11ba18
1444c51650325
1522ac3c5aaad
hex124e14bcfbd

1257910292413 has 2 divisors, whose sum is σ = 1257910292414. Its totient is φ = 1257910292412.

The previous prime is 1257910292183. The next prime is 1257910292447. The reversal of 1257910292413 is 3142920197521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1250062635844 + 7847656569 = 1118062^2 + 88587^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1257910292413 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1257910293413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 628955146206 + 628955146207.

It is an arithmetic number, because the mean of its divisors is an integer number (628955146207).

Almost surely, 21257910292413 is an apocalyptic number.

It is an amenable number.

1257910292413 is a deficient number, since it is larger than the sum of its proper divisors (1).

1257910292413 is an equidigital number, since it uses as much as digits as its factorization.

1257910292413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 272160, while the sum is 46.

The spelling of 1257910292413 in words is "one trillion, two hundred fifty-seven billion, nine hundred ten million, two hundred ninety-two thousand, four hundred thirteen".