415329980521 has 27 divisors (see below), whose sum is σ = 443875096119. Its totient is φ = 388563581808.

The previous prime is 415329980519. The next prime is 415329980537. The reversal of 415329980521 is 125089923514.

The square root of 415329980521 is 644461.

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., 23248625625 + 392081354896 = 152475^2 + 626164^2 .

It is not a de Polignac number, because 415329980521 - 2¹ = 415329980519 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (415329980501) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1310189055 + ... + 1310189371.

Almost surely, 2^415329980521 is an apocalyptic number.

415329980521 is the 644461-st square number.

415329980521 is the 322231-st centered octagonal number.

It is an amenable number.

415329980521 is a deficient number, since it is larger than the sum of its proper divisors (28545115598).

415329980521 is an frugal number, since it uses more digits than its factorization.

415329980521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 49.

Multiplying 415329980521 by its sum of digits (49), we get a square (20351169045529 = 4511227²).

The spelling of 415329980521 in words is "four hundred fifteen billion, three hundred twenty-nine million, nine hundred eighty thousand, five hundred twenty-one".