61426435206305 has 16 divisors (see below), whose sum is σ = 79575942426960. Its totient is φ = 45250152588288.

The previous prime is 61426435206181. The next prime is 61426435206313. The reversal of 61426435206305 is 50360253462416.

It can be written as a sum of positive squares in 8 ways, for example, as 6098291958784 + 55328143247521 = 2469472^2 + 7438289^2 .

It is a cyclic number.

It is not a de Polignac number, because 61426435206305 - 2¹⁴ = 61426435189921 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 61426435206305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1155257132 + ... + 1155310301.

It is an arithmetic number, because the mean of its divisors is an integer number (4973496401685).

Almost surely, 2^{61426435206305} is an apocalyptic number.

61426435206305 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

61426435206305 is a deficient number, since it is larger than the sum of its proper divisors (18149507220655).

61426435206305 is a wasteful number, since it uses less digits than its factorization.

61426435206305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2310567860.

The product of its (nonzero) digits is 3110400, while the sum is 47.

The spelling of 61426435206305 in words is "sixty-one trillion, four hundred twenty-six billion, four hundred thirty-five million, two hundred six thousand, three hundred five".