507458194321 has 27 divisors (see below), whose sum is σ = 565130370483. Its totient is φ = 455455128960.

The previous prime is 507458194303. The next prime is 507458194333. The reversal of 507458194321 is 123491854705.

It is a happy number.

The square root of 507458194321 is 712361.

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

It can be written as a sum of positive squares in 13 ways, for example, as 257618168721 + 249840025600 = 507561^2 + 499840^2 .

It is not a de Polignac number, because 507458194321 - 2⁷ = 507458194193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (507458194381) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 342644901 + ... + 342646381.

Almost surely, 2^507458194321 is an apocalyptic number.

507458194321 is the 712361-st square number.

507458194321 is the 356181-st centered octagonal number.

It is an amenable number.

507458194321 is a deficient number, since it is larger than the sum of its proper divisors (57672176162).

507458194321 is an frugal number, since it uses more digits than its factorization.

507458194321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3062 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 49.

Multiplying 507458194321 by its sum of digits (49), we get a square (24865451521729 = 4986527²).

The spelling of 507458194321 in words is "five hundred seven billion, four hundred fifty-eight million, one hundred ninety-four thousand, three hundred twenty-one".