2563751409 has 16 divisors (see below), whose sum is σ = 3551678400. Its totient is φ = 1643011776.

The previous prime is 2563751353. The next prime is 2563751417. The reversal of 2563751409 is 9041573652.

It is not a de Polignac number, because 2563751409 - 2¹² = 2563747313 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2563751479) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44419 + ... + 84264.

It is an arithmetic number, because the mean of its divisors is an integer number (221979900).

Almost surely, 2^2563751409 is an apocalyptic number.

2563751409 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2563751409 is a deficient number, since it is larger than the sum of its proper divisors (987926991).

2563751409 is a wasteful number, since it uses less digits than its factorization.

2563751409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128944.

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 2563751409 is about 50633.5008566463. The cubic root of 2563751409 is about 1368.6486415384.

The spelling of 2563751409 in words is "two billion, five hundred sixty-three million, seven hundred fifty-one thousand, four hundred nine".