61623058001 has 2 divisors, whose sum is σ = 61623058002. Its totient is φ = 61623058000.

The previous prime is 61623057919. The next prime is 61623058019. The reversal of 61623058001 is 10085032616.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 46311470401 + 15311587600 = 215201^2 + 123740^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-61623058001 is a prime.

It is a super-2 number, since 2×61623058001² (a number of 22 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (61623048001) 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, 30811529000 + 30811529001.

It is an arithmetic number, because the mean of its divisors is an integer number (30811529001).

Almost surely, 2^61623058001 is an apocalyptic number.

It is an amenable number.

61623058001 is a deficient number, since it is larger than the sum of its proper divisors (1).

61623058001 is an equidigital number, since it uses as much as digits as its factorization.

61623058001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 32.

The spelling of 61623058001 in words is "sixty-one billion, six hundred twenty-three million, fifty-eight thousand, one".