541951965 has 48 divisors (see below), whose sum is σ = 981489600. Its totient is φ = 286872192.

The previous prime is 541951957. The next prime is 541951973. The reversal of 541951965 is 569159145.

It is a happy number.

541951965 is a `hidden beast` number, since 541 + 95 + 19 + 6 + 5 = 666.

541951965 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (541951957) and next prime (541951973).

It is not a de Polignac number, because 541951965 - 2³ = 541951957 is a prime.

It is a super-2 number, since 2×541951965² = 587423864734722450, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 541951965.

It is a congruent number.

It is an unprimeable number.

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, 167281 + ... + 170489.

It is an arithmetic number, because the mean of its divisors is an integer number (20447700).

Almost surely, 2^541951965 is an apocalyptic number.

It is an amenable number.

541951965 is a deficient number, since it is larger than the sum of its proper divisors (439537635).

541951965 is a wasteful number, since it uses less digits than its factorization.

541951965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3368 (or 3356 counting only the distinct ones).

The product of its digits is 243000, while the sum is 45.

The square root of 541951965 is about 23279.8617908269. The cubic root of 541951965 is about 815.3052991978.

It can be divided in two parts, 5419519 and 65, that added together give a square (5419584 = 2328²).

The spelling of 541951965 in words is "five hundred forty-one million, nine hundred fifty-one thousand, nine hundred sixty-five".