10627251111509 has 2 divisors, whose sum is σ = 10627251111510. Its totient is φ = 10627251111508.

The previous prime is 10627251111419. The next prime is 10627251111517. The reversal of 10627251111509 is 90511115272601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6594572640100 + 4032678471409 = 2567990^2 + 2008153^2 .

It is a cyclic number.

It is not a de Polignac number, because 10627251111509 - 2³⁶ = 10558531634773 is a prime.

It is a super-2 number, since 2×10627251111509² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10627251111539) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5313625555754 + 5313625555755.

It is an arithmetic number, because the mean of its divisors is an integer number (5313625555755).

Almost surely, 2^{10627251111509} is an apocalyptic number.

It is an amenable number.

10627251111509 is a deficient number, since it is larger than the sum of its proper divisors (1).

10627251111509 is an equidigital number, since it uses as much as digits as its factorization.

10627251111509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 37800, while the sum is 41.

The spelling of 10627251111509 in words is "ten trillion, six hundred twenty-seven billion, two hundred fifty-one million, one hundred eleven thousand, five hundred nine".