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252361537 is a prime number
BaseRepresentation
bin11110000101010…
…11101101000001
3122120212021221121
433002223231001
51004101032122
641012552241
76153015631
oct1702535501
9576767847
10252361537
1111a4a6a5a
1270622681
134038b56c
14257326c1
151724dbc7
hexf0abb41

252361537 has 2 divisors, whose sum is σ = 252361538. Its totient is φ = 252361536.

The previous prime is 252361513. The next prime is 252361561. The reversal of 252361537 is 735163252.

252361537 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (252361513) and next prime (252361561).

It can be written as a sum of positive squares in only one way, i.e., 216648961 + 35712576 = 14719^2 + 5976^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-252361537 is a prime.

It is not a weakly prime, because it can be changed into another prime (252361507) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126180768 + 126180769.

It is an arithmetic number, because the mean of its divisors is an integer number (126180769).

Almost surely, 2252361537 is an apocalyptic number.

It is an amenable number.

252361537 is a deficient number, since it is larger than the sum of its proper divisors (1).

252361537 is an equidigital number, since it uses as much as digits as its factorization.

252361537 is an evil number, because the sum of its binary digits is even.

The product of its digits is 37800, while the sum is 34.

The square root of 252361537 is about 15885.8911301822. The cubic root of 252361537 is about 631.9378786147.

The spelling of 252361537 in words is "two hundred fifty-two million, three hundred sixty-one thousand, five hundred thirty-seven".