2506000381 has 2 divisors, whose sum is σ = 2506000382. Its totient is φ = 2506000380.

The previous prime is 2506000363. The next prime is 2506000423. The reversal of 2506000381 is 1830006052.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2471084100 + 34916281 = 49710^2 + 5909^2 .

It is a cyclic number.

It is not a de Polignac number, because 2506000381 - 2¹³ = 2505992189 is a prime.

It is a super-3 number, since 3×2506000381³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2506000781) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1253000190 + 1253000191.

It is an arithmetic number, because the mean of its divisors is an integer number (1253000191).

Almost surely, 2^2506000381 is an apocalyptic number.

It is an amenable number.

2506000381 is a deficient number, since it is larger than the sum of its proper divisors (1).

2506000381 is an equidigital number, since it uses as much as digits as its factorization.

2506000381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 2506000381 is about 50059.9678485714. The cubic root of 2506000381 is about 1358.2937767229.

The spelling of 2506000381 in words is "two billion, five hundred six million, three hundred eighty-one", and thus it is an aban number.