1055264001 has 16 divisors (see below), whose sum is σ = 1625220288. Its totient is φ = 601932800.

The previous prime is 1055263997. The next prime is 1055264017. The reversal of 1055264001 is 1004625501.

It is a cyclic number.

It is not a de Polignac number, because 1055264001 - 2² = 1055263997 is a prime.

It is a super-2 number, since 2×1055264001² = 2227164223613056002, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1055264051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 939960 + ... + 941081.

It is an arithmetic number, because the mean of its divisors is an integer number (101576268).

Almost surely, 2^1055264001 is an apocalyptic number.

1055264001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1055264001 is a deficient number, since it is larger than the sum of its proper divisors (569956287).

1055264001 is a wasteful number, since it uses less digits than its factorization.

1055264001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881072.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1055264001 is about 32484.8272428837. The cubic root of 1055264001 is about 1018.0920378597.

Adding to 1055264001 its reverse (1004625501), we get a palindrome (2059889502).

The spelling of 1055264001 in words is "one billion, fifty-five million, two hundred sixty-four thousand, one".