61581637601 has 32 divisors (see below), whose sum is σ = 70557734016. Its totient is φ = 53242560000.

The previous prime is 61581637577. The next prime is 61581637633. The reversal of 61581637601 is 10673618516.

It is a cyclic number.

It is not a de Polignac number, because 61581637601 - 2¹⁰ = 61581636577 is a prime.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (61581637651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10799051 + ... + 10804751.

It is an arithmetic number, because the mean of its divisors is an integer number (2204929188).

Almost surely, 2^61581637601 is an apocalyptic number.

It is an amenable number.

61581637601 is a deficient number, since it is larger than the sum of its proper divisors (8976096415).

61581637601 is a wasteful number, since it uses less digits than its factorization.

61581637601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6353.

The product of its (nonzero) digits is 181440, while the sum is 44.

The spelling of 61581637601 in words is "sixty-one billion, five hundred eighty-one million, six hundred thirty-seven thousand, six hundred one".