73413557657257 has 2 divisors, whose sum is σ = 73413557657258. Its totient is φ = 73413557657256.

The previous prime is 73413557657233. The next prime is 73413557657267. The reversal of 73413557657257 is 75275675531437.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68054976207936 + 5358581449321 = 8249544^2 + 2314861^2 .

It is a cyclic number.

It is not a de Polignac number, because 73413557657257 - 2⁷ = 73413557657129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 73413557657192 and 73413557657201.

It is not a weakly prime, because it can be changed into another prime (73413557657267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36706778828628 + 36706778828629.

It is an arithmetic number, because the mean of its divisors is an integer number (36706778828629).

Almost surely, 2^{73413557657257} is an apocalyptic number.

It is an amenable number.

73413557657257 is a deficient number, since it is larger than the sum of its proper divisors (1).

73413557657257 is an equidigital number, since it uses as much as digits as its factorization.

73413557657257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 648270000, while the sum is 67.

The spelling of 73413557657257 in words is "seventy-three trillion, four hundred thirteen billion, five hundred fifty-seven million, six hundred fifty-seven thousand, two hundred fifty-seven".