152564110055251 has 2 divisors, whose sum is σ = 152564110055252. Its totient is φ = 152564110055250.

The previous prime is 152564110055249. The next prime is 152564110055261. The reversal of 152564110055251 is 152550011465251.

152564110055251 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 152564110055251 - 2¹ = 152564110055249 is a prime.

It is a super-3 number, since 3×152564110055251³ (a number of 44 digits) contains 333 as substring.

Together with 152564110055249, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 152564110055198 and 152564110055207.

It is not a weakly prime, because it can be changed into another prime (152564110055261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76282055027625 + 76282055027626.

It is an arithmetic number, because the mean of its divisors is an integer number (76282055027626).

Almost surely, 2^{152564110055251} is an apocalyptic number.

152564110055251 is a deficient number, since it is larger than the sum of its proper divisors (1).

152564110055251 is an equidigital number, since it uses as much as digits as its factorization.

152564110055251 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 300000, while the sum is 43.

The spelling of 152564110055251 in words is "one hundred fifty-two trillion, five hundred sixty-four billion, one hundred ten million, fifty-five thousand, two hundred fifty-one".