61556512262401 has 48 divisors (see below), whose sum is σ = 71163964428480. Its totient is φ = 53034599854080.

The previous prime is 61556512262393. The next prime is 61556512262431. The reversal of 61556512262401 is 10426221565516.

It is not a de Polignac number, because 61556512262401 - 2³ = 61556512262393 is a prime.

It is a super-2 number, since 2×61556512262401² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61556512262431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 560349586 + ... + 560459428.

It is an arithmetic number, because the mean of its divisors is an integer number (1482582592260).

Almost surely, 2^{61556512262401} is an apocalyptic number.

It is an amenable number.

61556512262401 is a deficient number, since it is larger than the sum of its proper divisors (9607452166079).

61556512262401 is a wasteful number, since it uses less digits than its factorization.

61556512262401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111506 (or 111493 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 46.

The spelling of 61556512262401 in words is "sixty-one trillion, five hundred fifty-six billion, five hundred twelve million, two hundred sixty-two thousand, four hundred one".