61403353209 has 45 divisors (see below), whose sum is σ = 100863086709. Its totient is φ = 37199285640.

The previous prime is 61403353159. The next prime is 61403353211. The reversal of 61403353209 is 90235330416.

It is a happy number.

The square root of 61403353209 is 247797.

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

61403353209 is a `hidden beast` number, since 61 + 40 + 3 + 353 + 209 = 666.

It is not a de Polignac number, because 61403353209 - 2¹⁷ = 61403222137 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (61403353229) 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, 24530652 + ... + 24533154.

Almost surely, 2^61403353209 is an apocalyptic number.

61403353209 is the 247797-th square number.

61403353209 is the 123899-th centered octagonal number.

It is an amenable number.

61403353209 is a deficient number, since it is larger than the sum of its proper divisors (39459733500).

61403353209 is an frugal number, since it uses more digits than its factorization.

61403353209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5040 (or 2517 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

Multiplying 61403353209 by its sum of digits (36), we get a square (2210520715524 = 1486782²).

The spelling of 61403353209 in words is "sixty-one billion, four hundred three million, three hundred fifty-three thousand, two hundred nine".