542611134820225 has 27 divisors (see below), whose sum is σ = 677345149778409. Its totient is φ = 431200170468000.

The previous prime is 542611134820219. The next prime is 542611134820259. The reversal of 542611134820225 is 522028431116245.

The square root of 542611134820225 is 23294015.

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

It can be written as a sum of positive squares in 4 ways, for example, as 170811908667009 + 371799226153216 = 13069503^2 + 19282096^2 .

It is not a de Polignac number, because 542611134820225 - 2²¹ = 542611132723073 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17586965899 + ... + 17586996751.

Almost surely, 2^{542611134820225} is an apocalyptic number.

542611134820225 is the 23294015-th square number.

542611134820225 is the 11647008-th centered octagonal number.

It is an amenable number.

542611134820225 is a deficient number, since it is larger than the sum of its proper divisors (134734014958184).

542611134820225 is an frugal number, since it uses more digits than its factorization.

542611134820225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62018 (or 31009 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 46.

It can be divided in two parts, 5426111 and 34820225, that added together give a square (40246336 = 6344²).

The spelling of 542611134820225 in words is "five hundred forty-two trillion, six hundred eleven billion, one hundred thirty-four million, eight hundred twenty thousand, two hundred twenty-five".