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61405325253653 is a prime number
BaseRepresentation
bin11011111011001000010101…
…00110010101110000010101
322001102021212200210020010212
431331210022212111300111
531022031101231104103
6334333114511455205
715635250126462353
oct1575441246256025
9261367780706125
1061405325253653
11186249412aa277
126a7891b227505
132835660814514
1411240682ac7d3
157174604b57d8
hex37d90a995c15

61405325253653 has 2 divisors, whose sum is σ = 61405325253654. Its totient is φ = 61405325253652.

The previous prime is 61405325253637. The next prime is 61405325253667. The reversal of 61405325253653 is 35635252350416.

61405325253653 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., 40144161027364 + 21261164226289 = 6335942^2 + 4610983^2 .

It is a cyclic number.

It is not a de Polignac number, because 61405325253653 - 24 = 61405325253637 is a prime.

It is a super-2 number, since 2×614053252536532 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61405325213653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30702662626826 + 30702662626827.

It is an arithmetic number, because the mean of its divisors is an integer number (30702662626827).

Almost surely, 261405325253653 is an apocalyptic number.

It is an amenable number.

61405325253653 is a deficient number, since it is larger than the sum of its proper divisors (1).

61405325253653 is an equidigital number, since it uses as much as digits as its factorization.

61405325253653 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9720000, while the sum is 50.

The spelling of 61405325253653 in words is "sixty-one trillion, four hundred five billion, three hundred twenty-five million, two hundred fifty-three thousand, six hundred fifty-three".