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61457801 is a prime number
BaseRepresentation
bin1110101001110…
…0010110001001
311021122101020212
43222130112021
5111213122201
610033130505
71344245156
oct352342611
9137571225
1061457801
1131767179
12186b9a35
13c96a682
14823b22d
1555deabb
hex3a9c589

61457801 has 2 divisors, whose sum is σ = 61457802. Its totient is φ = 61457800.

The previous prime is 61457749. The next prime is 61457819. The reversal of 61457801 is 10875416.

It is a happy number.

61457801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 46240000 + 15217801 = 6800^2 + 3901^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-61457801 is a prime.

It is a super-2 number, since 2×614578012 = 7554122607511202, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (61457821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30728900 + 30728901.

It is an arithmetic number, because the mean of its divisors is an integer number (30728901).

Almost surely, 261457801 is an apocalyptic number.

It is an amenable number.

61457801 is a deficient number, since it is larger than the sum of its proper divisors (1).

61457801 is an equidigital number, since it uses as much as digits as its factorization.

61457801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 61457801 is about 7839.5025990174. The cubic root of 61457801 is about 394.6320367557.

The spelling of 61457801 in words is "sixty-one million, four hundred fifty-seven thousand, eight hundred one".