61751753001 has 15 divisors (see below), whose sum is σ = 92249786893. Its totient is φ = 41166344340.

The previous prime is 61751752987. The next prime is 61751753029. The reversal of 61751753001 is 10035715716.

The square root of 61751753001 is 248499.

It is a perfect power (a square), and thus also a powerful number.

61751753001 is a `hidden beast` number, since 617 + 5 + 1 + 7 + 5 + 30 + 0 + 1 = 666.

It is not a de Polignac number, because 61751753001 - 2¹⁷ = 61751621929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61751753501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2222686 + ... + 2250296.

Almost surely, 2^61751753001 is an apocalyptic number.

61751753001 is the 248499-th square number.

61751753001 is the 124250-th centered octagonal number.

It is an amenable number.

61751753001 is a deficient number, since it is larger than the sum of its proper divisors (30498033892).

61751753001 is an frugal number, since it uses more digits than its factorization.

61751753001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55234 (or 27614 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

Multiplying 61751753001 by its sum of digits (36), we get a square (2223063108036 = 1490994²).

The spelling of 61751753001 in words is "sixty-one billion, seven hundred fifty-one million, seven hundred fifty-three thousand, one".