61577257 has 8 divisors (see below), whose sum is σ = 70448832. Its totient is φ = 52724400.

The previous prime is 61577251. The next prime is 61577339. The reversal of 61577257 is 75277516.

61577257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 61577257 - 2¹⁵ = 61544489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61577251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3282 + ... + 11572.

It is an arithmetic number, because the mean of its divisors is an integer number (8806104).

Almost surely, 2^61577257 is an apocalyptic number.

It is an amenable number.

61577257 is a deficient number, since it is larger than the sum of its proper divisors (8871575).

61577257 is a wasteful number, since it uses less digits than its factorization.

61577257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9359.

The product of its digits is 102900, while the sum is 40.

The square root of 61577257 is about 7847.1177511237. The cubic root of 61577257 is about 394.8875543839.

The spelling of 61577257 in words is "sixty-one million, five hundred seventy-seven thousand, two hundred fifty-seven".