2551252541 has 2 divisors, whose sum is σ = 2551252542. Its totient is φ = 2551252540.

The previous prime is 2551252519. The next prime is 2551252547. The reversal of 2551252541 is 1452521552.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2540664025 + 10588516 = 50405^2 + 3254^2 .

It is a cyclic number.

It is not a de Polignac number, because 2551252541 - 2³⁰ = 1477510717 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2551252498 and 2551252507.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2551252547) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1275626270 + 1275626271.

It is an arithmetic number, because the mean of its divisors is an integer number (1275626271).

Almost surely, 2^2551252541 is an apocalyptic number.

It is an amenable number.

2551252541 is a deficient number, since it is larger than the sum of its proper divisors (1).

2551252541 is an equidigital number, since it uses as much as digits as its factorization.

2551252541 is an evil number, because the sum of its binary digits is even.

The product of its digits is 20000, while the sum is 32.

The square root of 2551252541 is about 50509.9251731776. The cubic root of 2551252541 is about 1366.4208600622.

The spelling of 2551252541 in words is "two billion, five hundred fifty-one million, two hundred fifty-two thousand, five hundred forty-one".