2553124561 has 32 divisors (see below), whose sum is σ = 2855817216. Its totient is φ = 2268000000.

The previous prime is 2553124537. The next prime is 2553124573. The reversal of 2553124561 is 1654213552.

It is a 6-Lehmer number, since φ(2553124561) divides (2553124561-1)⁶.

It is a cyclic number.

It is not a de Polignac number, because 2553124561 - 2⁷ = 2553124433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2553124501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10171686 + ... + 10171936.

It is an arithmetic number, because the mean of its divisors is an integer number (89244288).

Almost surely, 2^2553124561 is an apocalyptic number.

It is an amenable number.

2553124561 is a deficient number, since it is larger than the sum of its proper divisors (302692655).

2553124561 is a wasteful number, since it uses less digits than its factorization.

2553124561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553.

The product of its digits is 36000, while the sum is 34.

The square root of 2553124561 is about 50528.4529844324. The cubic root of 2553124561 is about 1366.7549889843.

The spelling of 2553124561 in words is "two billion, five hundred fifty-three million, one hundred twenty-four thousand, five hundred sixty-one".