102624602010509 has 2 divisors, whose sum is σ = 102624602010510. Its totient is φ = 102624602010508.

The previous prime is 102624602010473. The next prime is 102624602010551. The reversal of 102624602010509 is 905010206426201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100267118142409 + 2357483868100 = 10013347^2 + 1535410^2 .

It is a cyclic number.

It is not a de Polignac number, because 102624602010509 - 2²⁸ = 102624333575053 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102624602010409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51312301005254 + 51312301005255.

It is an arithmetic number, because the mean of its divisors is an integer number (51312301005255).

Almost surely, 2^{102624602010509} is an apocalyptic number.

It is an amenable number.

102624602010509 is a deficient number, since it is larger than the sum of its proper divisors (1).

102624602010509 is an equidigital number, since it uses as much as digits as its factorization.

102624602010509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 51840, while the sum is 38.

The spelling of 102624602010509 in words is "one hundred two trillion, six hundred twenty-four billion, six hundred two million, ten thousand, five hundred nine".