61312783741504 has 63 divisors (see below), whose sum is σ = 122508245734987. Its totient is φ = 30446008767488.

The previous prime is 61312783741501. The next prime is 61312783741523. The reversal of 61312783741504 is 40514738721316.

It is a happy number.

The square root of 61312783741504 is 7830248.

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

It can be written as a sum of positive squares in 4 ways, for example, as 45219171904 + 61267564569600 = 212648^2 + 7827360^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61312783741501) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9333652332 + ... + 9333658900.

Almost surely, 2^{61312783741504} is an apocalyptic number.

61312783741504 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

61312783741504 is the 7830248-th square number.

It is an amenable number.

61312783741504 is a deficient number, since it is larger than the sum of its proper divisors (61195461993483).

61312783741504 is an frugal number, since it uses more digits than its factorization.

61312783741504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13448 (or 6720 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 61312783741504 in words is "sixty-one trillion, three hundred twelve billion, seven hundred eighty-three million, seven hundred forty-one thousand, five hundred four".