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957715395253 is a prime number
BaseRepresentation
bin11011110111111000100…
…10010011001010110101
310101120000211110221102221
431323330102103022311
5111142400120122003
62011545100402341
7126123036354001
oct15737422231265
93346024427387
10957715395253
1133a18a411561
12135740b463b1
136c409b01666
14344d4697701
1519da43ee7bd
hexdefc4932b5

957715395253 has 2 divisors, whose sum is σ = 957715395254. Its totient is φ = 957715395252.

The previous prime is 957715395163. The next prime is 957715395269. The reversal of 957715395253 is 352593517759.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 647820546129 + 309894849124 = 804873^2 + 556682^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-957715395253 is a prime.

It is a super-2 number, since 2×9577153952532 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 957715395191 and 957715395200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (957715335253) 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, 478857697626 + 478857697627.

It is an arithmetic number, because the mean of its divisors is an integer number (478857697627).

Almost surely, 2957715395253 is an apocalyptic number.

It is an amenable number.

957715395253 is a deficient number, since it is larger than the sum of its proper divisors (1).

957715395253 is an equidigital number, since it uses as much as digits as its factorization.

957715395253 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 44651250, while the sum is 61.

The spelling of 957715395253 in words is "nine hundred fifty-seven billion, seven hundred fifteen million, three hundred ninety-five thousand, two hundred fifty-three".