1026572213601 has 27 divisors (see below), whose sum is σ = 1629936794577. Its totient is φ = 622144713960.

The previous prime is 1026572213573. The next prime is 1026572213687. The reversal of 1026572213601 is 1063122756201.

The square root of 1026572213601 is 1013199.

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

1026572213601 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 572 + 21 + 3 + 60 + 1 = 666.

It is not a de Polignac number, because 1026572213601 - 2¹³ = 1026572205409 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1026572211601) 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, 33420216 + ... + 33450918.

Almost surely, 2^{1026572213601} is an apocalyptic number.

1026572213601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1026572213601 is the 1013199-th square number.

1026572213601 is the 506600-th centered octagonal number.

It is an amenable number.

1026572213601 is a deficient number, since it is larger than the sum of its proper divisors (603364580976).

1026572213601 is an frugal number, since it uses more digits than its factorization.

1026572213601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61434 (or 30717 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Multiplying 1026572213601 by its sum of digits (36), we get a square (36956599689636 = 6079194²).

Adding to 1026572213601 its reverse (1063122756201), we get a palindrome (2089694969802).

The spelling of 1026572213601 in words is "one trillion, twenty-six billion, five hundred seventy-two million, two hundred thirteen thousand, six hundred one".