541275264 has 64 divisors (see below), whose sum is σ = 1597524000. Its totient is φ = 180423936.

The previous prime is 541275253. The next prime is 541275289. The reversal of 541275264 is 462572145.

It is a happy number.

541275264 is a `hidden beast` number, since 5 + 4 + 127 + 526 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×541275264² = 585957822836539392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74854 + ... + 81765.

Almost surely, 2^541275264 is an apocalyptic number.

541275264 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

541275264 is an abundant number, since it is smaller than the sum of its proper divisors (1056248736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

541275264 is a wasteful number, since it uses less digits than its factorization.

541275264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156642 (or 156624 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 541275264 is about 23265.3232085866. The cubic root of 541275264 is about 814.9658178796.

The spelling of 541275264 in words is "five hundred forty-one million, two hundred seventy-five thousand, two hundred sixty-four".