1002564101 has 16 divisors (see below), whose sum is σ = 1250702208. Its totient is φ = 780748800.

The previous prime is 1002564083. The next prime is 1002564107. The reversal of 1002564101 is 1014652001.

1002564101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1002564101 is a prime.

It is a super-2 number, since 2×1002564101² = 2010269553227876402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002564107) 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, 181541 + ... + 186981.

It is an arithmetic number, because the mean of its divisors is an integer number (78168888).

Almost surely, 2^1002564101 is an apocalyptic number.

1002564101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002564101 is a deficient number, since it is larger than the sum of its proper divisors (248138107).

1002564101 is a wasteful number, since it uses less digits than its factorization.

1002564101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7852.

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 1002564101 is about 31663.2926430591. The cubic root of 1002564101 is about 1000.8539708595.

The spelling of 1002564101 in words is "one billion, two million, five hundred sixty-four thousand, one hundred one".