541258461 has 24 divisors (see below), whose sum is σ = 829725624. Its totient is φ = 338826240.

The previous prime is 541258451. The next prime is 541258469. The reversal of 541258461 is 164852145.

It is a happy number.

541258461 is a `hidden beast` number, since 5 + 4 + 12 + 584 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 166255236 + 375003225 = 12894^2 + 19365^2 .

It is not a de Polignac number, because 541258461 - 2¹⁵ = 541225693 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541258469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66051 + ... + 73791.

It is an arithmetic number, because the mean of its divisors is an integer number (34571901).

Almost surely, 2^541258461 is an apocalyptic number.

541258461 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

541258461 is a deficient number, since it is larger than the sum of its proper divisors (288467163).

541258461 is a wasteful number, since it uses less digits than its factorization.

541258461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8221 (or 8218 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 541258461 is about 23264.9620889440. The cubic root of 541258461 is about 814.9573847014.

The spelling of 541258461 in words is "five hundred forty-one million, two hundred fifty-eight thousand, four hundred sixty-one".