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40973312521 is a prime number
BaseRepresentation
bin100110001010001100…
…110010001000001001
310220202111111221021101
4212022030302020021
51132403132000041
630453424141401
72650233260431
oct461214621011
9126674457241
1040973312521
1116416404159
127b35a67861
133b2c90742b
141da996d2c1
1510ec195b31
hex98a332209

40973312521 has 2 divisors, whose sum is σ = 40973312522. Its totient is φ = 40973312520.

The previous prime is 40973312491. The next prime is 40973312531. The reversal of 40973312521 is 12521337904.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40254804496 + 718508025 = 200636^2 + 26805^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40973312521 is a prime.

It is a super-3 number, since 3×409733125213 (a number of 33 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (40973312531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20486656260 + 20486656261.

It is an arithmetic number, because the mean of its divisors is an integer number (20486656261).

Almost surely, 240973312521 is an apocalyptic number.

It is an amenable number.

40973312521 is a deficient number, since it is larger than the sum of its proper divisors (1).

40973312521 is an equidigital number, since it uses as much as digits as its factorization.

40973312521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 40973312521 in words is "forty billion, nine hundred seventy-three million, three hundred twelve thousand, five hundred twenty-one".