621598212225 has 27 divisors (see below), whose sum is σ = 1113372647049. Its totient is φ = 331512739200.

The previous prime is 621598212173. The next prime is 621598212227. The reversal of 621598212225 is 522212895126.

The square root of 621598212225 is 788415.

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

621598212225 is a `hidden beast` number, since 6 + 21 + 598 + 2 + 12 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40240761201 + 581357451024 = 200601^2 + 762468^2 .

It is not a de Polignac number, because 621598212225 - 2¹⁵ = 621598179457 is a prime.

It is a super-2 number, since 2×621598212225² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (621598212227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11799945 + ... + 11852505.

Almost surely, 2^621598212225 is an apocalyptic number.

621598212225 is the 788415-th square number.

621598212225 is the 394208-th centered octagonal number.

It is an amenable number.

621598212225 is a deficient number, since it is larger than the sum of its proper divisors (491774434824).

621598212225 is an frugal number, since it uses more digits than its factorization.

621598212225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105138 (or 52569 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The spelling of 621598212225 in words is "six hundred twenty-one billion, five hundred ninety-eight million, two hundred twelve thousand, two hundred twenty-five".