2501000100 has 81 divisors (see below), whose sum is σ = 7843951297. Its totient is φ = 666533280.

The previous prime is 2501000087. The next prime is 2501000119. The reversal of 2501000100 is 10001052.

It is a happy number.

The square root of 2501000100 is 50010.

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., 900360036 + 1600640064 = 30006^2 + 40008^2 .

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

It is a Duffinian number.

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1499467 + ... + 1501133.

Almost surely, 2^2501000100 is an apocalyptic number.

2501000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2501000100 is the 50010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2501000100

2501000100 is an abundant number, since it is smaller than the sum of its proper divisors (5342951197).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2501000100 is a wasteful number, since it uses less digits than its factorization.

2501000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3354 (or 1677 counting only the distinct ones).

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

The cubic root of 2501000100 is about 1357.3897634404.

Adding to 2501000100 its reverse (10001052), we get a palindrome (2511001152).

The spelling of 2501000100 in words is "two billion, five hundred one million, one hundred", and thus it is an aban number.