283806580225 has 81 divisors (see below), whose sum is σ = 423871474563. Its totient is φ = 187948908000.

The previous prime is 283806580217. The next prime is 283806580237. The reversal of 283806580225 is 522085608382.

The square root of 283806580225 is 532735.

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., 102170368881 + 181636211344 = 319641^2 + 426188^2 .

It is not a de Polignac number, because 283806580225 - 2³ = 283806580217 is a prime.

It is a super-2 number, since 2×283806580225² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 578017230 + ... + 578017720.

Almost surely, 2^283806580225 is an apocalyptic number.

283806580225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

283806580225 is the 532735-th square number.

283806580225 is the 266368-th centered octagonal number.

It is an amenable number.

283806580225 is a deficient number, since it is larger than the sum of its proper divisors (140064894338).

283806580225 is an frugal number, since it uses more digits than its factorization.

283806580225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 49.

Multiplying 283806580225 by its sum of digits (49), we get a square (13906522431025 = 3729145²).

283806580225 divided by its sum of digits (49) gives a square (5791971025 = 76105²).

The spelling of 283806580225 in words is "two hundred eighty-three billion, eight hundred six million, five hundred eighty thousand, two hundred twenty-five".