61677509371009 has 27 divisors (see below), whose sum is σ = 72200664468513. Its totient is φ = 52534469031912.

The previous prime is 61677509370979. The next prime is 61677509371019. The reversal of 61677509371009 is 90017390577616.

The square root of 61677509371009 is 7853503.

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

It is not a de Polignac number, because 61677509371009 - 2⁵ = 61677509370977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (61677509371019) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8960843482 + ... + 8960850364.

It is an arithmetic number, because the mean of its divisors is an integer number (2674098684019).

Almost surely, 2^{61677509371009} is an apocalyptic number.

61677509371009 is the 7853503-rd square number.

61677509371009 is the 3926752-nd centered octagonal number.

It is an amenable number.

61677509371009 is a deficient number, since it is larger than the sum of its proper divisors (10523155097504).

61677509371009 is an frugal number, since it uses more digits than its factorization.

61677509371009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14106 (or 7053 counting only the distinct ones).

The product of its (nonzero) digits is 15002820, while the sum is 61.

The spelling of 61677509371009 in words is "sixty-one trillion, six hundred seventy-seven billion, five hundred nine million, three hundred seventy-one thousand, nine".