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152566613224001 is a prime number
BaseRepresentation
bin100010101100001000101110…
…110010010010101001000001
3202000012020002121001202020122
4202230020232302102221001
5124444122410441132001
61300252045020550025
744064400621201214
oct4254105662225101
9660166077052218
10152566613224001
1144681156841689
12151405220b2315
136718c7bb1ca12
142996398dbb77b
15129891b15bb1b
hex8ac22ec92a41

152566613224001 has 2 divisors, whose sum is σ = 152566613224002. Its totient is φ = 152566613224000.

The previous prime is 152566613223971. The next prime is 152566613224007. The reversal of 152566613224001 is 100422316665251.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 152249711780401 + 316901443600 = 12338951^2 + 562940^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-152566613224001 is a prime.

It is not a weakly prime, because it can be changed into another prime (152566613224007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76283306612000 + 76283306612001.

It is an arithmetic number, because the mean of its divisors is an integer number (76283306612001).

Almost surely, 2152566613224001 is an apocalyptic number.

It is an amenable number.

152566613224001 is a deficient number, since it is larger than the sum of its proper divisors (1).

152566613224001 is an equidigital number, since it uses as much as digits as its factorization.

152566613224001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 518400, while the sum is 44.

Adding to 152566613224001 its reverse (100422316665251), we get a palindrome (252988929889252).

The spelling of 152566613224001 in words is "one hundred fifty-two trillion, five hundred sixty-six billion, six hundred thirteen million, two hundred twenty-four thousand, one".