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252132405953 is a prime number
BaseRepresentation
bin1110101011010001000…
…0110011001011000001
3220002210112121022011112
43222310100303023001
513112331343442303
6311454504253105
724134035042511
oct3526420631301
9802715538145
10252132405953
1197a2419641a
1240a46771195
131aa11ab4b6c
14c2bbad5841
15685a1330d8
hex3ab44332c1

252132405953 has 2 divisors, whose sum is σ = 252132405954. Its totient is φ = 252132405952.

The previous prime is 252132405947. The next prime is 252132405979. The reversal of 252132405953 is 359504231252.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 189788308609 + 62344097344 = 435647^2 + 249688^2 .

It is a cyclic number.

It is not a de Polignac number, because 252132405953 - 28 = 252132405697 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 252132405953.

It is not a weakly prime, because it can be changed into another prime (252132405853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126066202976 + 126066202977.

It is an arithmetic number, because the mean of its divisors is an integer number (126066202977).

Almost surely, 2252132405953 is an apocalyptic number.

It is an amenable number.

252132405953 is a deficient number, since it is larger than the sum of its proper divisors (1).

252132405953 is an equidigital number, since it uses as much as digits as its factorization.

252132405953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324000, while the sum is 41.

The spelling of 252132405953 in words is "two hundred fifty-two billion, one hundred thirty-two million, four hundred five thousand, nine hundred fifty-three".