61577728512363 has 30 divisors (see below), whose sum is σ = 107004684700716. Its totient is φ = 35187273433368.

The previous prime is 61577728512281. The next prime is 61577728512407. The reversal of 61577728512363 is 36321582777516.

61577728512363 is a `hidden beast` number, since 6 + 1 + 57 + 7 + 7 + 2 + 8 + 512 + 3 + 63 = 666.

It is not a de Polignac number, because 61577728512363 - 2¹⁴ = 61577728495979 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 61577728512363.

It is not an unprimeable number, because it can be changed into a prime (61577728512563) 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 29 ways as a sum of consecutive naturals, for example, 7757331445 + ... + 7757339382.

Almost surely, 2^{61577728512363} is an apocalyptic number.

61577728512363 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

61577728512363 is a deficient number, since it is larger than the sum of its proper divisors (45426956188353).

61577728512363 is a wasteful number, since it uses less digits than its factorization.

61577728512363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15514670853 (or 15514670837 counting only the distinct ones).

The product of its digits is 88905600, while the sum is 63.

The spelling of 61577728512363 in words is "sixty-one trillion, five hundred seventy-seven billion, seven hundred twenty-eight million, five hundred twelve thousand, three hundred sixty-three".