541258965 has 48 divisors (see below), whose sum is σ = 1019910528. Its totient is φ = 263945088.

The previous prime is 541258951. The next prime is 541258969. The reversal of 541258965 is 569852145.

541258965 is a `hidden beast` number, since 5 + 4 + 1 + 2 + 589 + 65 = 666.

It is not a de Polignac number, because 541258965 - 2⁸ = 541258709 is a prime.

It is a super-2 number, since 2×541258965² = 585922534385742450, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 541258965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541258969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is an upside-down number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58272 + ... + 66918.

It is an arithmetic number, because the mean of its divisors is an integer number (21248136).

Almost surely, 2^541258965 is an apocalyptic number.

It is an amenable number.

541258965 is a deficient number, since it is larger than the sum of its proper divisors (478651563).

541258965 is a wasteful number, since it uses less digits than its factorization.

541258965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8778 (or 8775 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The square root of 541258965 is about 23264.9729206806. The cubic root of 541258965 is about 814.9576376541.

The spelling of 541258965 in words is "five hundred forty-one million, two hundred fifty-eight thousand, nine hundred sixty-five".