2506251341 has 24 divisors (see below), whose sum is σ = 2789808000. Its totient is φ = 2249676000.

The previous prime is 2506251337. The next prime is 2506251343. The reversal of 2506251341 is 1431526052.

2506251341 = 4491² + 4492² + ... + 4611².

It is not a de Polignac number, because 2506251341 - 2² = 2506251337 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506251343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4183760 + ... + 4184358.

It is an arithmetic number, because the mean of its divisors is an integer number (116242000).

Almost surely, 2^2506251341 is an apocalyptic number.

It is an amenable number.

2506251341 is a deficient number, since it is larger than the sum of its proper divisors (283556659).

2506251341 is a wasteful number, since it uses less digits than its factorization.

2506251341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 2506251341 is about 50062.4743795190. The cubic root of 2506251341 is about 1358.3391167037.

Adding to 2506251341 its reverse (1431526052), we get a palindrome (3937777393).

The spelling of 2506251341 in words is "two billion, five hundred six million, two hundred fifty-one thousand, three hundred forty-one".