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813125221297 is a prime number
BaseRepresentation
bin10111101010100100000…
…10100011101110110001
32212201211002120001202221
423311102002203232301
5101310240024040142
61421313343241041
7112514000225224
oct13652202435661
92781732501687
10813125221297
11293931a97824
12111709ba9181
135b8a62829cc
142b4d95a95bb
151624072b767
hexbd520a3bb1

813125221297 has 2 divisors, whose sum is σ = 813125221298. Its totient is φ = 813125221296.

The previous prime is 813125221277. The next prime is 813125221327. The reversal of 813125221297 is 792122521318.

813125221297 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 636127475776 + 176997745521 = 797576^2 + 420711^2 .

It is a cyclic number.

It is not a de Polignac number, because 813125221297 - 219 = 813124697009 is a prime.

It is a super-2 number, since 2×8131252212972 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (813125221217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 406562610648 + 406562610649.

It is an arithmetic number, because the mean of its divisors is an integer number (406562610649).

Almost surely, 2813125221297 is an apocalyptic number.

It is an amenable number.

813125221297 is a deficient number, since it is larger than the sum of its proper divisors (1).

813125221297 is an equidigital number, since it uses as much as digits as its factorization.

813125221297 is an evil number, because the sum of its binary digits is even.

The product of its digits is 120960, while the sum is 43.

The spelling of 813125221297 in words is "eight hundred thirteen billion, one hundred twenty-five million, two hundred twenty-one thousand, two hundred ninety-seven".