2500100001 has 27 divisors (see below), whose sum is σ = 4202613363. Its totient is φ = 1428028560.

The previous prime is 2500099991. The next prime is 2500100003. The reversal of 2500100001 is 1000010052.

It is a happy number.

The square root of 2500100001 is 50001.

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

It can be written as a sum of positive squares in only one way, i.e., 2099601 + 2498000400 = 1449^2 + 49980^2 .

It is not a de Polignac number, because 2500100001 - 2⁹ = 2500099489 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 (2500100003) 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, 1048831 + ... + 1051211.

Almost surely, 2^2500100001 is an apocalyptic number.

2500100001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2500100001 is the 50001-st square number.

2500100001 is the 25001-st centered octagonal number.

It is an amenable number.

2500100001 is a deficient number, since it is larger than the sum of its proper divisors (1702513362).

2500100001 is an frugal number, since it uses more digits than its factorization.

2500100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4782 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The cubic root of 2500100001 is about 1357.2269043546.

Adding to 2500100001 its reverse (1000010052), we get a palindrome (3500110053).

The spelling of 2500100001 in words is "two billion, five hundred million, one hundred thousand, one".