61952938047 has 320 divisors, whose sum is σ = 129477325824. Its totient is φ = 28486287360.

The previous prime is 61952938037. The next prime is 61952938067. The reversal of 61952938047 is 74083925916.

It is not a de Polignac number, because 61952938047 - 2¹⁰ = 61952937023 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 61952937984 and 61952938002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61952938037) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 320999583 + ... + 320999775.

It is a 2-persistent number, because it is pandigital, and so is 2⋅61952938047 = 123905876094, but 3⋅61952938047 = 185858814141 is not.

Almost surely, 2^61952938047 is an apocalyptic number.

61952938047 is the 203229-th pentagonal number.

61952938047 is an abundant number, since it is smaller than the sum of its proper divisors (67524387777).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61952938047 is a wasteful number, since it uses less digits than its factorization.

61952938047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

It can be divided in two parts, 61952 and 938047, that added together give a palindrome (999999).

The spelling of 61952938047 in words is "sixty-one billion, nine hundred fifty-two million, nine hundred thirty-eight thousand, forty-seven".