630180357921 has 45 divisors (see below), whose sum is σ = 962142764739. Its totient is φ = 397465661232.

The previous prime is 630180357869. The next prime is 630180357929. The reversal of 630180357921 is 129753081036.

The square root of 630180357921 is 793839.

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

630180357921 is a `hidden beast` number, since 6 + 30 + 180 + 357 + 92 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 616499780625 + 13680577296 = 785175^2 + 116964^2 .

It is not a de Polignac number, because 630180357921 - 2¹⁷ = 630180226849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (630180357929) 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 44 ways as a sum of consecutive naturals, for example, 859727271 + ... + 859728003.

Almost surely, 2^630180357921 is an apocalyptic number.

630180357921 is the 793839-th square number.

630180357921 is the 396920-th centered octagonal number.

It is an amenable number.

630180357921 is a deficient number, since it is larger than the sum of its proper divisors (331962406818).

630180357921 is an frugal number, since it uses more digits than its factorization.

630180357921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 630180357921 in words is "six hundred thirty billion, one hundred eighty million, three hundred fifty-seven thousand, nine hundred twenty-one".