61582511 has 2 divisors, whose sum is σ = 61582512. Its totient is φ = 61582510.

The previous prime is 61582441. The next prime is 61582513. The reversal of 61582511 is 11528516.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 61582511 - 2¹⁸ = 61320367 is a prime.

It is a super-2 number, since 2×61582511² = 7584811322130242, which contains 22 as substring.

Together with 61582513, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61582513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30791255 + 30791256.

It is an arithmetic number, because the mean of its divisors is an integer number (30791256).

Almost surely, 2^61582511 is an apocalyptic number.

61582511 is a deficient number, since it is larger than the sum of its proper divisors (1).

61582511 is an equidigital number, since it uses as much as digits as its factorization.

61582511 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2400, while the sum is 29.

The square root of 61582511 is about 7847.4525165814. The cubic root of 61582511 is about 394.8987851549.

The spelling of 61582511 in words is "sixty-one million, five hundred eighty-two thousand, five hundred eleven".