61537003097 has 2 divisors, whose sum is σ = 61537003098. Its totient is φ = 61537003096.

The previous prime is 61537003061. The next prime is 61537003109. The reversal of 61537003097 is 79030073516.

61537003097 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., 38802696256 + 22734306841 = 196984^2 + 150779^2 .

It is a cyclic number.

It is not a de Polignac number, because 61537003097 - 2¹² = 61536999001 is a prime.

It is not a weakly prime, because it can be changed into another prime (61537003007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30768501548 + 30768501549.

It is an arithmetic number, because the mean of its divisors is an integer number (30768501549).

Almost surely, 2^61537003097 is an apocalyptic number.

It is an amenable number.

61537003097 is a deficient number, since it is larger than the sum of its proper divisors (1).

61537003097 is an equidigital number, since it uses as much as digits as its factorization.

61537003097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 119070, while the sum is 41.

The spelling of 61537003097 in words is "sixty-one billion, five hundred thirty-seven million, three thousand, ninety-seven".