61600009 has 2 divisors, whose sum is σ = 61600010. Its totient is φ = 61600008.

The previous prime is 61599991. The next prime is 61600039. The reversal of 61600009 is 90000616.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37785609 + 23814400 = 6147^2 + 4880^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-61600009 is a prime.

It is a super-2 number, since 2×61600009² = 7589122217600162, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (61600039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30800004 + 30800005.

It is an arithmetic number, because the mean of its divisors is an integer number (30800005).

Almost surely, 2^61600009 is an apocalyptic number.

It is an amenable number.

61600009 is a deficient number, since it is larger than the sum of its proper divisors (1).

61600009 is an equidigital number, since it uses as much as digits as its factorization.

61600009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 61600009 is about 7848.5673214925. The cubic root of 61600009 is about 394.9361836764.

The spelling of 61600009 in words is "sixty-one million, six hundred thousand, nine".