785221060129 has 9 divisors (see below), whose sum is σ = 863104937331. Its totient is φ = 713828466120.

The previous prime is 785221060069. The next prime is 785221060147. The reversal of 785221060129 is 921060122587.

The square root of 785221060129 is 886127.

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

It can be written as a sum of positive squares in only one way, i.e., 449576955025 + 335644105104 = 670505^2 + 579348^2 .

It is not a de Polignac number, because 785221060129 - 2¹⁵ = 785221027361 is a prime.

It is a super-2 number, since 2×785221060129² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (785221064129) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9707119 + ... + 9787675.

Almost surely, 2^785221060129 is an apocalyptic number.

785221060129 is the 886127-th square number.

785221060129 is the 443064-th centered octagonal number.

It is an amenable number.

785221060129 is a deficient number, since it is larger than the sum of its proper divisors (77883877202).

785221060129 is an frugal number, since it uses more digits than its factorization.

785221060129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161136 (or 80568 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 43.

The spelling of 785221060129 in words is "seven hundred eighty-five billion, two hundred twenty-one million, sixty thousand, one hundred twenty-nine".