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1014976513 is a prime number
BaseRepresentation
bin111100011111110…
…101000000000001
32121201212011000201
4330133311000001
54034313222023
6244414245201
734103105125
oct7437650001
92551764021
101014976513
11480a22971
12243ab6801
13132381c25
1498b29585
155e18dbad
hex3c7f5001

1014976513 has 2 divisors, whose sum is σ = 1014976514. Its totient is φ = 1014976512.

The previous prime is 1014976493. The next prime is 1014976531. The reversal of 1014976513 is 3156794101.

1014976513 = 225272 + 225282.

It is a happy number.

Together with next prime (1014976531) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 507510784 + 507465729 = 22528^2 + 22527^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1014976513 is a prime.

It is not a weakly prime, because it can be changed into another prime (1014976813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 507488256 + 507488257.

It is an arithmetic number, because the mean of its divisors is an integer number (507488257).

Almost surely, 21014976513 is an apocalyptic number.

1014976513 is the 22528-th centered square number.

It is an amenable number.

1014976513 is a deficient number, since it is larger than the sum of its proper divisors (1).

1014976513 is an equidigital number, since it uses as much as digits as its factorization.

1014976513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 22680, while the sum is 37.

The square root of 1014976513 is about 31858.6960342070. The cubic root of 1014976513 is about 1004.9674545371.

The spelling of 1014976513 in words is "one billion, fourteen million, nine hundred seventy-six thousand, five hundred thirteen".