542125909264 has 15 divisors (see below), whose sum is σ = 1050374655493. Its totient is φ = 271061482048.

The previous prime is 542125909249. The next prime is 542125909309. The reversal of 542125909264 is 462909521245.

It is a happy number.

The square root of 542125909264 is 736292.

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

It can be written as a sum of positive squares in only one way, i.e., 141933027600 + 400192881664 = 376740^2 + 632608^2 .

It is a super-2 number, since 2×542125909264² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2853132 + ... + 3037204.

Almost surely, 2^542125909264 is an apocalyptic number.

542125909264 is the 736292-nd square number.

It is an amenable number.

542125909264 is a deficient number, since it is larger than the sum of its proper divisors (508248746229).

542125909264 is an frugal number, since it uses more digits than its factorization.

542125909264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368154 (or 184075 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 49.

Multiplying 542125909264 by its sum of digits (49), we get a square (26564169553936 = 5154044²).

The spelling of 542125909264 in words is "five hundred forty-two billion, one hundred twenty-five million, nine hundred nine thousand, two hundred sixty-four".