541514129 has 16 divisors (see below), whose sum is σ = 619599120. Its totient is φ = 469566720.

The previous prime is 541514081. The next prime is 541514143. The reversal of 541514129 is 921415145.

It can be written as a sum of positive squares in 8 ways, for example, as 5499025 + 536015104 = 2345^2 + 23152^2 .

It is a cyclic number.

It is not a de Polignac number, because 541514129 - 2¹² = 541510033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 541514095 and 541514104.

It is not an unprimeable number, because it can be changed into a prime (541514159) 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, 5462 + ... + 33359.

It is an arithmetic number, because the mean of its divisors is an integer number (38724945).

Almost surely, 2^541514129 is an apocalyptic number.

It is an amenable number.

541514129 is a deficient number, since it is larger than the sum of its proper divisors (78084991).

541514129 is a wasteful number, since it uses less digits than its factorization.

541514129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38900.

The product of its digits is 7200, while the sum is 32.

The square root of 541514129 is about 23270.4561407807. The cubic root of 541514129 is about 815.0856818346.

The spelling of 541514129 in words is "five hundred forty-one million, five hundred fourteen thousand, one hundred twenty-nine".