1000610001 has 12 divisors (see below), whose sum is σ = 1461566340. Its totient is φ = 659577600.

The previous prime is 1000609993. The next prime is 1000610041. The reversal of 1000610001 is 1000160001.

It can be written as a sum of positive squares in 2 ways, for example, as 525326400 + 475283601 = 22920^2 + 21801^2 .

It is not a de Polignac number, because 1000610001 - 2³ = 1000609993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1000610041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 623800 + ... + 625401.

It is an arithmetic number, because the mean of its divisors is an integer number (121797195).

Almost surely, 2^1000610001 is an apocalyptic number.

It is an amenable number.

1000610001 is a deficient number, since it is larger than the sum of its proper divisors (460956339).

1000610001 is a wasteful number, since it uses less digits than its factorization.

1000610001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249296 (or 1249293 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1000610001 is about 31632.4200939479. The cubic root of 1000610001 is about 1000.2032923361.

Adding to 1000610001 its reverse (1000160001), we get a palindrome (2000770002).

The spelling of 1000610001 in words is "one billion, six hundred ten thousand, one".