73869260521 has 27 divisors (see below), whose sum is σ = 88169612727. Its totient is φ = 61706974560.

The previous prime is 73869260483. The next prime is 73869260533. The reversal of 73869260521 is 12506296837.

The square root of 73869260521 is 271789.

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., 3559434921 + 70309825600 = 59661^2 + 265160^2 .

It is not a de Polignac number, because 73869260521 - 2⁷ = 73869260393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (73869263521) 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, 78002970 + ... + 78003916.

Almost surely, 2^73869260521 is an apocalyptic number.

73869260521 is the 271789-th square number.

73869260521 is the 135895-th centered octagonal number.

It is an amenable number.

73869260521 is a deficient number, since it is larger than the sum of its proper divisors (14300352206).

73869260521 is an frugal number, since it uses more digits than its factorization.

73869260521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

Multiplying 73869260521 by its sum of digits (49), we get a square (3619593765529 = 1902523²).

73869260521 divided by its sum of digits (49) gives a square (1507535929 = 38827²).

The spelling of 73869260521 in words is "seventy-three billion, eight hundred sixty-nine million, two hundred sixty thousand, five hundred twenty-one".