1056165234601 has 9 divisors (see below), whose sum is σ = 1059028941303. Its totient is φ = 1053309259080.

The previous prime is 1056165234517. The next prime is 1056165234623. The reversal of 1056165234601 is 1064325616501.

It is a happy number.

The square root of 1056165234601 is 1027699.

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., 689147362201 + 367017872400 = 830149^2 + 605820^2 .

It is not a de Polignac number, because 1056165234601 - 2¹³ = 1056165226409 is a prime.

It is a super-2 number, since 2×1056165234601² (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 (1056165234301) 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, 451158691 + ... + 451161031.

It is an arithmetic number, because the mean of its divisors is an integer number (117669882367).

Almost surely, 2^{1056165234601} is an apocalyptic number.

1056165234601 is the 1027699-th square number.

1056165234601 is the 513850-th centered octagonal number.

It is an amenable number.

1056165234601 is a deficient number, since it is larger than the sum of its proper divisors (2863706702).

1056165234601 is an frugal number, since it uses more digits than its factorization.

1056165234601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5560 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The spelling of 1056165234601 in words is "one trillion, fifty-six billion, one hundred sixty-five million, two hundred thirty-four thousand, six hundred one".