61332008409 has 45 divisors (see below), whose sum is σ = 106604811621. Its totient is φ = 35037946440.

The previous prime is 61332008371. The next prime is 61332008431. The reversal of 61332008409 is 90480023316.

The square root of 61332008409 is 247653.

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

61332008409 is a `hidden beast` number, since 613 + 32 + 0 + 0 + 8 + 4 + 0 + 9 = 666.

It is not a de Polignac number, because 61332008409 - 2¹⁹ = 61331484121 is a prime.

It is a super-2 number, since 2×61332008409² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61332008809) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 15600174 + ... + 15604104.

Almost surely, 2^61332008409 is an apocalyptic number.

61332008409 is the 247653-rd square number.

61332008409 is the 123827-th centered octagonal number.

It is an amenable number.

61332008409 is a deficient number, since it is larger than the sum of its proper divisors (45272803212).

61332008409 is an frugal number, since it uses more digits than its factorization.

61332008409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7888 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Multiplying 61332008409 by its sum of digits (36), we get a square (2207952302724 = 1485918²).

The spelling of 61332008409 in words is "sixty-one billion, three hundred thirty-two million, eight thousand, four hundred nine".