61762687441 has 27 divisors (see below), whose sum is σ = 77826661083. Its totient is φ = 48849287760.

The previous prime is 61762687439. The next prime is 61762687477. The reversal of 61762687441 is 14478626716.

The square root of 61762687441 is 248521.

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

It can be written as a sum of positive squares in only one way, i.e., 9136492225 + 52626195216 = 95585^2 + 229404^2 .

It is not a de Polignac number, because 61762687441 - 2¹ = 61762687439 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61762627441) 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, 22614046 + ... + 22616776.

It is an arithmetic number, because the mean of its divisors is an integer number (2882468929).

Almost surely, 2^61762687441 is an apocalyptic number.

61762687441 is the 248521-st square number.

61762687441 is the 124261-st centered octagonal number.

It is an amenable number.

61762687441 is a deficient number, since it is larger than the sum of its proper divisors (16063973642).

61762687441 is an frugal number, since it uses more digits than its factorization.

61762687441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5502 (or 2751 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 52.

The spelling of 61762687441 in words is "sixty-one billion, seven hundred sixty-two million, six hundred eighty-seven thousand, four hundred forty-one".