542360075401 has 9 divisors (see below), whose sum is σ = 543643793031. Its totient is φ = 541079387112.

The previous prime is 542360075381. The next prime is 542360075407. The reversal of 542360075401 is 104570063245.

The square root of 542360075401 is 736451.

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., 1070271225 + 541289804176 = 32715^2 + 735724^2 .

It is not a de Polignac number, because 542360075401 - 2²⁷ = 542225857673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (542360075407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 535399371 + ... + 535400383.

Almost surely, 2^542360075401 is an apocalyptic number.

542360075401 is the 736451-st square number.

542360075401 is the 368226-th centered octagonal number.

It is an amenable number.

542360075401 is a deficient number, since it is larger than the sum of its proper divisors (1283717630).

542360075401 is an frugal number, since it uses more digits than its factorization.

542360075401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3480 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The spelling of 542360075401 in words is "five hundred forty-two billion, three hundred sixty million, seventy-five thousand, four hundred one".