64735010281249 has 27 divisors (see below), whose sum is σ = 82772948156913. Its totient is φ = 50442382405800.

The previous prime is 64735010281171. The next prime is 64735010281259. The reversal of 64735010281249 is 94218201053746.

The square root of 64735010281249 is 8045807.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 64735010281249 - 2¹¹ = 64735010279201 is a prime.

It is a super-2 number, since 2×64735010281249² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64735010281196 and 64735010281205.

It is not an unprimeable number, because it can be changed into a prime (64735010281259) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 619474894 + ... + 619579384.

It is a 1-persistent number, because it is pandigital, but 2⋅64735010281249 = 129470020562498 is not.

Almost surely, 2^{64735010281249} is an apocalyptic number.

64735010281249 is the 8045807-th square number.

64735010281249 is the 4022904-th centered octagonal number.

It is an amenable number.

64735010281249 is a deficient number, since it is larger than the sum of its proper divisors (18037937875664).

64735010281249 is an frugal number, since it uses more digits than its factorization.

64735010281249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209018 (or 104509 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 64735010281249 in words is "sixty-four trillion, seven hundred thirty-five billion, ten million, two hundred eighty-one thousand, two hundred forty-nine".