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972055035001 is a prime number
BaseRepresentation
bin11100010010100101111…
…11101011110001111001
310102221001012001010011101
432021102333223301321
5111411232042110001
62022320024531401
7130141300316611
oct16112277536171
93387035033141
10972055035001
113452787a90a6
12138483320b61
13708838a9bab
1435094d01a41
151a443271a01
hexe252febc79

972055035001 has 2 divisors, whose sum is σ = 972055035002. Its totient is φ = 972055035000.

The previous prime is 972055034933. The next prime is 972055035019. The reversal of 972055035001 is 100530550279.

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., 696472033401 + 275583001600 = 834549^2 + 524960^2 .

It is an emirp because it is prime and its reverse (100530550279) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 972055035001 - 211 = 972055032953 is a prime.

It is not a weakly prime, because it can be changed into another prime (972055032001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486027517500 + 486027517501.

It is an arithmetic number, because the mean of its divisors is an integer number (486027517501).

Almost surely, 2972055035001 is an apocalyptic number.

It is an amenable number.

972055035001 is a deficient number, since it is larger than the sum of its proper divisors (1).

972055035001 is an equidigital number, since it uses as much as digits as its factorization.

972055035001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 47250, while the sum is 37.

The spelling of 972055035001 in words is "nine hundred seventy-two billion, fifty-five million, thirty-five thousand, one".