61337459201 has 2 divisors, whose sum is σ = 61337459202. Its totient is φ = 61337459200.

The previous prime is 61337459159. The next prime is 61337459207. The reversal of 61337459201 is 10295473316.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33975336976 + 27362122225 = 184324^2 + 165415^2 .

It is a cyclic number.

It is not a de Polignac number, because 61337459201 - 2³⁰ = 60263717377 is a prime.

It is not a weakly prime, because it can be changed into another prime (61337459207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30668729600 + 30668729601.

It is an arithmetic number, because the mean of its divisors is an integer number (30668729601).

Almost surely, 2^61337459201 is an apocalyptic number.

It is an amenable number.

61337459201 is a deficient number, since it is larger than the sum of its proper divisors (1).

61337459201 is an equidigital number, since it uses as much as digits as its factorization.

61337459201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 136080, while the sum is 41.

The spelling of 61337459201 in words is "sixty-one billion, three hundred thirty-seven million, four hundred fifty-nine thousand, two hundred one".