531442458001 has 27 divisors (see below), whose sum is σ = 669504691323. Its totient is φ = 420429456720.

The previous prime is 531442457989. The next prime is 531442458031. The reversal of 531442458001 is 100854244135.

The square root of 531442458001 is 729001.

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., 78615748225 + 452826709776 = 280385^2 + 672924^2 .

It is not a de Polignac number, because 531442458001 - 2⁷ = 531442457873 is a prime.

It is a super-2 number, since 2×531442458001² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (531442458031) 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, 66335086 + ... + 66343096.

It is an arithmetic number, because the mean of its divisors is an integer number (24796470049).

Almost surely, 2^531442458001 is an apocalyptic number.

531442458001 is the 729001-st square number.

531442458001 is the 364501-st centered octagonal number.

It is an amenable number.

531442458001 is a deficient number, since it is larger than the sum of its proper divisors (138062233322).

531442458001 is an frugal number, since it uses more digits than its factorization.

531442458001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16062 (or 8031 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The spelling of 531442458001 in words is "five hundred thirty-one billion, four hundred forty-two million, four hundred fifty-eight thousand, one".