1023564261 has 16 divisors (see below), whose sum is σ = 1400832000. Its totient is φ = 664483248.

The previous prime is 1023564259. The next prime is 1023564287. The reversal of 1023564261 is 1624653201.

1023564261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1023564261 - 2¹ = 1023564259 is a prime.

It is a super-2 number, since 2×1023564261² = 2095367592792952242, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023564161) 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, 9820 + ... + 46298.

It is an arithmetic number, because the mean of its divisors is an integer number (87552000).

Almost surely, 2^1023564261 is an apocalyptic number.

It is an amenable number.

1023564261 is a deficient number, since it is larger than the sum of its proper divisors (377267739).

1023564261 is a wasteful number, since it uses less digits than its factorization.

1023564261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36728.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1023564261 is about 31993.1908536801. The cubic root of 1023564261 is about 1007.7938517316.

The spelling of 1023564261 in words is "one billion, twenty-three million, five hundred sixty-four thousand, two hundred sixty-one".