61828314409 has 27 divisors (see below), whose sum is σ = 68334271383. Its totient is φ = 55929021984.

The previous prime is 61828314311. The next prime is 61828314461. The reversal of 61828314409 is 90441382816.

The square root of 61828314409 is 248653.

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., 10190296809 + 51638017600 = 100947^2 + 227240^2 .

It is not a de Polignac number, because 61828314409 - 2¹¹ = 61828312361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61828314479) 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, 108661077 + ... + 108661645.

Almost surely, 2^61828314409 is an apocalyptic number.

61828314409 is the 248653-rd square number.

61828314409 is the 124327-th centered octagonal number.

It is an amenable number.

61828314409 is a deficient number, since it is larger than the sum of its proper divisors (6505956974).

61828314409 is an frugal number, since it uses more digits than its factorization.

61828314409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The spelling of 61828314409 in words is "sixty-one billion, eight hundred twenty-eight million, three hundred fourteen thousand, four hundred nine".