403149816545281 has 9 divisors (see below), whose sum is σ = 436547125412931. Its totient is φ = 372138051252552.

The previous prime is 403149816545213. The next prime is 403149816545383. The reversal of 403149816545281 is 182545618941304.

The square root of 403149816545281 is 20078591.

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., 59637546826225 + 343512269719056 = 7722535^2 + 18534084^2 .

It is not a de Polignac number, because 403149816545281 - 2³⁵ = 403115456806913 is a prime.

It is a super-2 number, since 2×403149816545281² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (403149816545681) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 260249430 + ... + 261793936.

Almost surely, 2^{403149816545281} is an apocalyptic number.

403149816545281 is the 20078591-st square number.

403149816545281 is the 10039296-th centered octagonal number.

It is an amenable number.

403149816545281 is a deficient number, since it is larger than the sum of its proper divisors (33397308867650).

403149816545281 is an frugal number, since it uses more digits than its factorization.

403149816545281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3089040 (or 1544520 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 61.

The spelling of 403149816545281 in words is "four hundred three trillion, one hundred forty-nine billion, eight hundred sixteen million, five hundred forty-five thousand, two hundred eighty-one".