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61635526241 is a prime number
BaseRepresentation
bin111001011001110000…
…110111111001100001
312220002111010010222012
4321121300313321201
52002212143314431
644152011122305
74311246220532
oct713160677141
9186074103865
1061635526241
1124159714143
12bb41743395
135a735513b3
142da9b94689
15190b11d22b
hexe59c37e61

61635526241 has 2 divisors, whose sum is σ = 61635526242. Its totient is φ = 61635526240.

The previous prime is 61635526231. The next prime is 61635526259. The reversal of 61635526241 is 14262553616.

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., 38525445841 + 23110080400 = 196279^2 + 152020^2 .

It is a cyclic number.

It is not a de Polignac number, because 61635526241 - 26 = 61635526177 is a prime.

It is not a weakly prime, because it can be changed into another prime (61635526231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30817763120 + 30817763121.

It is an arithmetic number, because the mean of its divisors is an integer number (30817763121).

Almost surely, 261635526241 is an apocalyptic number.

It is an amenable number.

61635526241 is a deficient number, since it is larger than the sum of its proper divisors (1).

61635526241 is an equidigital number, since it uses as much as digits as its factorization.

61635526241 is an evil number, because the sum of its binary digits is even.

The product of its digits is 259200, while the sum is 41.

The spelling of 61635526241 in words is "sixty-one billion, six hundred thirty-five million, five hundred twenty-six thousand, two hundred forty-one".