61553606401 has 12 divisors (see below), whose sum is σ = 71735559060. Its totient is φ = 52662687840.

The previous prime is 61553606399. The next prime is 61553606419. The reversal of 61553606401 is 10460635516.

61553606401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11477908225 + 50075698176 = 107135^2 + 223776^2 .

It is not a de Polignac number, because 61553606401 - 2¹ = 61553606399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61553606201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1134486 + ... + 1187503.

It is an arithmetic number, because the mean of its divisors is an integer number (5977963255).

Almost surely, 2^61553606401 is an apocalyptic number.

It is an amenable number.

61553606401 is a deficient number, since it is larger than the sum of its proper divisors (10181952659).

61553606401 is a wasteful number, since it uses less digits than its factorization.

61553606401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322544 (or 2322537 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 61553606401 in words is "sixty-one billion, five hundred fifty-three million, six hundred six thousand, four hundred one".