61577057 has 2 divisors, whose sum is σ = 61577058. Its totient is φ = 61577056.

The previous prime is 61577051. The next prime is 61577071. The reversal of 61577057 is 75077516.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56190016 + 5387041 = 7496^2 + 2321^2 .

It is a cyclic number.

It is not a de Polignac number, because 61577057 - 2⁴ = 61577041 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 61577057.

It is not a weakly prime, because it can be changed into another prime (61577051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30788528 + 30788529.

It is an arithmetic number, because the mean of its divisors is an integer number (30788529).

Almost surely, 2^61577057 is an apocalyptic number.

It is an amenable number.

61577057 is a deficient number, since it is larger than the sum of its proper divisors (1).

61577057 is an equidigital number, since it uses as much as digits as its factorization.

61577057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51450, while the sum is 38.

The square root of 61577057 is about 7847.1050075808. The cubic root of 61577057 is about 394.8871268581.

The spelling of 61577057 in words is "sixty-one million, five hundred seventy-seven thousand, fifty-seven".