438507515601 has 27 divisors (see below), whose sum is σ = 636354710121. Its totient is φ = 290980835784.

The previous prime is 438507515587. The next prime is 438507515609. The reversal of 438507515601 is 106515705834.

The square root of 438507515601 is 662199.

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

438507515601 is a `hidden beast` number, since 4 + 3 + 85 + 0 + 7 + 5 + 1 + 560 + 1 = 666.

It is not a de Polignac number, because 438507515601 - 2¹⁹ = 438506991313 is a prime.

It is a super-2 number, since 2×438507515601² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (438507515609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 609884920 + ... + 609885638.

Almost surely, 2^438507515601 is an apocalyptic number.

438507515601 is the 662199-th square number.

438507515601 is the 331100-th centered octagonal number.

It is an amenable number.

438507515601 is a deficient number, since it is larger than the sum of its proper divisors (197847194520).

438507515601 is an frugal number, since it uses more digits than its factorization.

438507515601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 438507515601 in words is "four hundred thirty-eight billion, five hundred seven million, five hundred fifteen thousand, six hundred one".