705769690201 has 27 divisors (see below), whose sum is σ = 745062103903. Its totient is φ = 668518771760.

The previous prime is 705769690177. The next prime is 705769690229. The reversal of 705769690201 is 102096967507.

It is a happy number.

The square root of 705769690201 is 840101.

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., 370088505801 + 335681184400 = 608349^2 + 579380^2 .

It is not a de Polignac number, because 705769690201 - 2²³ = 705761301593 is a prime.

It is a super-2 number, since 2×705769690201² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (705769690271) 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, 1437412566 + ... + 1437413056.

Almost surely, 2^705769690201 is an apocalyptic number.

705769690201 is the 840101-st square number.

705769690201 is the 420051-st centered octagonal number.

It is an amenable number.

705769690201 is a deficient number, since it is larger than the sum of its proper divisors (39292413702).

705769690201 is an frugal number, since it uses more digits than its factorization.

705769690201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 52.

The spelling of 705769690201 in words is "seven hundred five billion, seven hundred sixty-nine million, six hundred ninety thousand, two hundred one".