1457227541 has 16 divisors (see below), whose sum is σ = 1822072320. Its totient is φ = 1132208880.

The previous prime is 1457227529. The next prime is 1457227549.

It is a happy number.

1457227541 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1457227541 - 2¹⁸ = 1456965397 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1457227495 and 1457227504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1457227549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 551 + ... + 53988.

It is an arithmetic number, because the mean of its divisors is an integer number (113879520).

Almost surely, 2^1457227541 is an apocalyptic number.

1457227541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1457227541 is a deficient number, since it is larger than the sum of its proper divisors (364844779).

1457227541 is a wasteful number, since it uses less digits than its factorization.

1457227541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54904.

The product of its digits is 78400, while the sum is 38.

The square root of 1457227541 is about 38173.6498255014. The cubic root of 1457227541 is about 1133.7286549299.

The spelling of 1457227541 in words is "one billion, four hundred fifty-seven million, two hundred twenty-seven thousand, five hundred forty-one".