2251461583 has 16 divisors (see below), whose sum is σ = 2669635584. Its totient is φ = 1858056480.

The previous prime is 2251461533. The next prime is 2251461613. The reversal of 2251461583 is 3851641522.

2251461583 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2251461583 - 2¹⁷ = 2251330511 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251461503) 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, 16416 + ... + 69082.

It is an arithmetic number, because the mean of its divisors is an integer number (166852224).

Almost surely, 2^2251461583 is an apocalyptic number.

2251461583 is a deficient number, since it is larger than the sum of its proper divisors (418174001).

2251461583 is a wasteful number, since it uses less digits than its factorization.

2251461583 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52902.

The product of its digits is 57600, while the sum is 37.

The square root of 2251461583 is about 47449.5688389262. The cubic root of 2251461583 is about 1310.6543713239.

The spelling of 2251461583 in words is "two billion, two hundred fifty-one million, four hundred sixty-one thousand, five hundred eighty-three".