61507 has 2 divisors, whose sum is σ = 61508. Its totient is φ = 61506.

The previous prime is 61493. The next prime is 61511. The reversal of 61507 is 70516.

61507 is nontrivially palindromic in base 3.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 61507 - 2⁷ = 61379 is a prime.

It is a super-2 number, since 2×61507² = 7566222098, which contains 22 as substring.

It is a plaindrome in base 15.

It is not a weakly prime, because it can be changed into another prime (61547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30753 + 30754.

It is an arithmetic number, because the mean of its divisors is an integer number (30754).

2⁶¹⁵⁰⁷ is an apocalyptic number.

61507 is a deficient number, since it is larger than the sum of its proper divisors (1).

61507 is an equidigital number, since it uses as much as digits as its factorization.

61507 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 61507 is about 248.0060483133. The cubic root of 61507 is about 39.4737313996.

Subtracting 61507 from its reverse (70516), we obtain a palindrome (9009).

The spelling of 61507 in words is "sixty-one thousand, five hundred seven".