61851192601 has 27 divisors (see below), whose sum is σ = 71141961877. Its totient is φ = 53728931960.

The previous prime is 61851192589. The next prime is 61851192649. The reversal of 61851192601 is 10629115816.

The square root of 61851192601 is 248699.

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

It is not a de Polignac number, because 61851192601 - 2²¹ = 61849095449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61851192691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 62920356 + ... + 62921338.

Almost surely, 2^61851192601 is an apocalyptic number.

61851192601 is the 248699-th square number.

61851192601 is the 124350-th centered octagonal number.

It is an amenable number.

61851192601 is a deficient number, since it is larger than the sum of its proper divisors (9290769276).

61851192601 is an frugal number, since it uses more digits than its factorization.

61851192601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2034 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 40.

It can be divided in two parts, 61851 and 192601, that added together give a palindrome (254452).

The spelling of 61851192601 in words is "sixty-one billion, eight hundred fifty-one million, one hundred ninety-two thousand, six hundred one".