541260225 has 135 divisors (see below), whose sum is σ = 1125978931. Its totient is φ = 256845600.

The previous prime is 541260211. The next prime is 541260241. The reversal of 541260225 is 522062145.

The square root of 541260225 is 23265.

It is a perfect power (a square), and thus also a powerful number.

541260225 is a `hidden beast` number, since 54 + 1 + 2 + 602 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 194853681 + 346406544 = 13959^2 + 18612^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 541260225 - 2¹¹ = 541258177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 11516152 + ... + 11516198.

Almost surely, 2^541260225 is an apocalyptic number.

541260225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

541260225 is the 23265-th square number.

541260225 is the 11633-rd centered octagonal number.

It is an amenable number.

541260225 is an abundant number, since it is smaller than the sum of its proper divisors (584718706).

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

541260225 is a wasteful number, since it uses less digits than its factorization.

541260225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The cubic root of 541260225 is about 814.9582700352.

The spelling of 541260225 in words is "five hundred forty-one million, two hundred sixty thousand, two hundred twenty-five".