61056401 has 32 divisors (see below), whose sum is σ = 77702400. Its totient is φ = 47755008.

The previous prime is 61056383. The next prime is 61056427. The reversal of 61056401 is 10465016.

61056401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 61056401 - 2¹⁴ = 61040017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61056451) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 215606 + ... + 215888.

It is an arithmetic number, because the mean of its divisors is an integer number (2428200).

Almost surely, 2^61056401 is an apocalyptic number.

It is an amenable number.

61056401 is a deficient number, since it is larger than the sum of its proper divisors (16645999).

61056401 is a wasteful number, since it uses less digits than its factorization.

61056401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 61056401 is about 7813.8595457047. The cubic root of 61056401 is about 393.7710046408.

The spelling of 61056401 in words is "sixty-one million, fifty-six thousand, four hundred one".