531535238282304 has 105 divisors (see below), whose sum is σ = 1575641881832997. Its totient is φ = 177177859439616.

The previous prime is 531535238282299. The next prime is 531535238282329. The reversal of 531535238282304 is 403282832535135.

The square root of 531535238282304 is 23055048.

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

531535238282304 is a `hidden beast` number, since 5 + 3 + 1 + 5 + 3 + 52 + 3 + 8 + 282 + 304 = 666.

It can be written as a sum of positive squares in only one way, i.e., 440221160176704 + 91314078105600 = 20981448^2 + 9555840^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1659803352 + ... + 1660123560.

Almost surely, 2^{531535238282304} is an apocalyptic number.

531535238282304 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

531535238282304 is the 23055048-th square number.

It is an amenable number.

531535238282304 is an abundant number, since it is smaller than the sum of its proper divisors (1044106643550693).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

531535238282304 is an frugal number, since it uses more digits than its factorization.

531535238282304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640442 (or 320214 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 531535238282304 in words is "five hundred thirty-one trillion, five hundred thirty-five billion, two hundred thirty-eight million, two hundred eighty-two thousand, three hundred four".