61761288001 has 12 divisors (see below), whose sum is σ = 72556103700. Its totient is φ = 52414101600.

The previous prime is 61761287999. The next prime is 61761288041. The reversal of 61761288001 is 10088216716.

It can be written as a sum of positive squares in 2 ways, for example, as 55543176976 + 6218111025 = 235676^2 + 78855^2 .

It is not a de Polignac number, because 61761288001 - 2¹ = 61761287999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61761288041) 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, 6234826 + ... + 6244723.

It is an arithmetic number, because the mean of its divisors is an integer number (6046341975).

Almost surely, 2^61761288001 is an apocalyptic number.

It is an amenable number.

61761288001 is a deficient number, since it is larger than the sum of its proper divisors (10794815699).

61761288001 is a wasteful number, since it uses less digits than its factorization.

61761288001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12479664 (or 12479657 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 40.

The spelling of 61761288001 in words is "sixty-one billion, seven hundred sixty-one million, two hundred eighty-eight thousand, one".