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152006502013 is a prime number
BaseRepresentation
bin1000110110010001001…
…0110010011001111101
3112112100121001101011221
42031210102302121331
54442302131031023
6153455242513341
713660601643232
oct2154422623175
9475317041157
10152006502013
1159513786883
1225562805851
1311446192162
14750005d789
153e49d2885d
hex23644b267d

152006502013 has 2 divisors, whose sum is σ = 152006502014. Its totient is φ = 152006502012.

The previous prime is 152006501989. The next prime is 152006502049. The reversal of 152006502013 is 310205600251.

152006502013 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., 151435387609 + 571114404 = 389147^2 + 23898^2 .

It is a cyclic number.

It is not a de Polignac number, because 152006502013 - 229 = 151469631101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (152006502113) 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, 76003251006 + 76003251007.

It is an arithmetic number, because the mean of its divisors is an integer number (76003251007).

Almost surely, 2152006502013 is an apocalyptic number.

It is an amenable number.

152006502013 is a deficient number, since it is larger than the sum of its proper divisors (1).

152006502013 is an equidigital number, since it uses as much as digits as its factorization.

152006502013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 25.

The spelling of 152006502013 in words is "one hundred fifty-two billion, six million, five hundred two thousand, thirteen".